solve the system of equations using the substitution method pls show work

4x+y=7
3x+2y=9

Answers

Answer 1

Answer:

x = 1 ; y = 3

Step-by-step explanation:

[tex]4x + y = 7 \\ y = 7 - 4x[/tex]

Now we know the value of y is 7 - 4x we plug this value to the second equation with y, So,

[tex]3x + 2(7 - 4x) = 9 \\ 3x + (14 - 8x) = 9 \\ - 5x = 9 - 14 \\ - 5x = - 5 \\ x = \frac{ - 5}{ - 5} \\ x = 1[/tex]

Now to find the value of y we use the first equation

[tex]y = 7 - 4x \\ y = 7 - 4(1) \\ y = 7 - 4 \\ y = 3[/tex]

Hope this helps you :)

Answer 2

Answer:

x = 6/5 or 1.2 y = 11/5 or 2.2

Step-by-step explanation:

4x + y = 7

y = -4x + 7

y = 7 - 4x

3x + 2y = 9

3x + 2(7 - 4x) = 9

3x + 14 - 8x = 9

-5× + 15 = 9

-5x = 9 - 15

-5x = -6

x = -6/-5

x = 6/5

4x + y = 7

4(6/5) + y = 7

24/5 + y = 7

y = 7 - 24/5

y = 35/5 - 24/5

y = 11/5


Related Questions

If f(x) = 6x - 4. what is f(x) when x = 8?​

Answers

Answer:

44

Step-by-step explanation:

* means multiply

put 8 where the x is

6 * 8 - 4

48 - 4

44

x^4+64 will be the perfect square by adding

Answers

Answer:

[tex]( { {x}^{2} })^{2} + 16 {x}^{2} + {8}^{2} \\ ( {x}^{2} + 8) ^{2} \\ ( { {x}^{2} })^{2} - 16 {x}^{2} + {8}^{2} \\ ( {x}^{2} - 8) ^{2} [/tex]

+16x² or -16x² is the answer

PLZ Find a ratio equivalent to 9/10. Then use the ratios to write a proportion.
a 70/63 9/10=70/63
b 19/70 9/10=19/70
c 19/20 9/10=19/20
d 63/70 9/10=63/70

Answers

Answer:

63/70 = 9 : 10

Step-by-step explanation:

Given ratio:

9/10

a 70/63

= 10/9

= 10 : 9

b 19/70

= 19:70

c 19/20

= 19 : 20

d 63/70

= 9/10

= 9 : 10

The equivalent ratio to 9/10 = 63/70

= 9 : 10

Select the instances in which the variable described is binomial.1) A coin flip has two outcomes: heads or tails. The probability of each outcome is 0.50. The random variable represents the total number of flips required to get tails.2) A quality check on a particular product must meet five guidelines. All products are made in the same factory under the same conditions. The random variable represents the total number of products out of 35 tested that pass inspection.3) There are two choices of burritos at a restaurant, vegetarian or beef. The random variable represents the total number out of 254 customers who ordered beef.4) Based on the parents' genetics, each of 6 children from a particular pair of parents has a 0.30 probability of having blue eyes. The random variable represents the total number of children from this pair of parents with blue eyes.5) The probability of drawing a king in a standard deck of cards is 0.08. Seven cards are drawn without replacement. The random variable represents the total number of king cards observed.

Answers

Answer: 2) A quality check on a particular product must meet five guidelines. All products are made in the same factory under the same conditions. The random variable represents the total number of products out of 35 tested that pass inspection.

• 3) There are two choices of burritos at a restaurant, vegetarian or beef. The random variable represents the total number out of 254 customers who ordered beef.

• 4) Based on the parents' genetics, each of 6 children from a particular pair of parents has a 0.30 probability of having blue eyes. The random variable represents the total number of children from this pair of parents with blue eyes

Step-by-step explanation:

The binomial distribution simply means the probability of success or failure in an experiment. The instances in which the variable described is binomial are given below:

• 2) A quality check on a particular product must meet five guidelines. All products are made in the same factory under the same conditions. The random variable represents the total number of products out of 35 tested that pass inspection.

• 3) There are two choices of burritos at a restaurant, vegetarian or beef. The random variable represents the total number out of 254 customers who ordered beef.

• 4) Based on the parents' genetics, each of 6 children from a particular pair of parents has a 0.30 probability of having blue eyes. The random variable represents the total number of children from this pair of parents with blue eyes.

Option 1 isn't binomial since the number of trails that are given isn't fixed. Option 5 isn't binomial as well

Therefore, the correct options are 2,3 and 4.

PLEASE HELP ASAP! Worth 15 points!!

Which graph represents a function with direct variation?

Answers

3rd graph is the correct graph

Answer:

The bottom right photo

Step-by-step explanation:

A direct variation is an equation in the form y = kx, where k is the constant of variation. Since it is in this form, the equation will pass through the origin (0, 0)

How to find the domain

Answers

The domain is the x values. So I think the answer is the second choice.

A self-serve frozen yogurt shop has 8 candy toppings and 4 fruit toppings to choose from. How many ways are there to top a frozen yogurt?

hint.. correct answer is 4096

Answers

4096 ways : 8 candy toppings plus 4 fruit toppings is 12. Then 2^12 (2 different types of toppings and the 12 of total toppings) = 4096

What is the scale factor from ABC to DEF?

Answers

Within similar triangles, the angles are the same. So, we need to look at the side lengths then.

72 to 12

66 to 11

42 to 7

In each pair of corresponding side lengths, the original side length from triangle ABC is divided by 6 (or multiplied by 1/6) to get the smaller side length on triangle DEF.

The scale factor from ABC to DEF is 1/6.

Hope this helps!

Perimeter of a Garden

Answers

Answer:

Step 1: W = 7 - L

Step 2: Widths = 4, 3, 2, 1

Step-by-step explanation:

step1:

14 = 2L + 2W

14 - 2L = 2W

W = 7 - L

step2:

W = 7 - L

W = 7 - 3 = 4

W = 7 - 4 = 3

W = 7 - 5 = 2

W = 7 - 6 = 1

someone help me please

Answers

Answer:

1, 3, 4

Step-by-step explanation:

Points N and K are on plane A and plane S

Point P is the intersection of the line n and line g

Points M, P, and Q are noncollinear

Worth 10 pts ... pls help

Answers

Answer:

the length is 8cm???

Step-by-step explanation:

its kind of obvi (i Think)

Length 8 cm :) hope that’s helpful

30 POINTS !!!

what is the total surface area of the square pyramid? 5in height abs 8in base

20
40
104
144

Answers

maybe 40? i hope this helps
I believe 40 is the answer. At least I hope so

A triangle has vertices on a coordinate grid at D(6,-1)D(6,−1), E(-4,-1)E(−4,−1), and F(-4,-6).F(−4,−6). What is the length, in units, of DE ?

Answers

Answer:

2units

Step-by-step explanation:

Given the coordinates D(6,−1), E(-4,-1), using the distance formula

DE = √(x2-x1)²+(y2-y1)²

DE = √(-1-(-1))²+(4-6)²

DE = √(-1+1)²+(-2)²

DE = √0+4

DE = √4

DE = 2units

Hence the length od DE in units is 2units

If x = 3 and y = 5, work out the value of
b) 2x2 + 3y2

Answers

Answer:

42

Step-by-step explanation:

2*3*2+3*5*2=12+30=42

Answer:

[tex]93[/tex]

Step-by-step explanation:

Given:

If [tex]x=3[/tex] & [tex]y=5[/tex], find [tex]2x^2+3y^2[/tex]

Solution:

Replace 3 with x and 4 with y:

[tex]2(3)^2+3(5)^2[/tex]

[tex]=2(9)+3(25)[/tex]

[tex]=18+75[/tex]

[tex]=93[/tex]

A man is 40 years old and his son is 5years old. In how many years will the father be 3 times the age of his son.

Answers

12 1/2 years

Step-by-step explanation:

Let the unknown be n. Then 40+n = 3(5+n).

Performing the multiplication:

40+n = 15+3n

Isolate n and combine the constant terms:

25=2n, so n= 25/2 years

The volume of a cube is 8mm3.
What is the length of its side?

Answers

Answer:

the length of cube

is 2 mm

Answer:

2m

Step-by-step explanation:

A cube is a 3-dimensional object with all sides of equal length. So, length = breadth = height

Let the side of cube be x.  

Then Volume of cube = x * x * x

So, length (side) of cube is 2m

Find the value of x that will make A||B

Answers

Answer:

7

Step-by-step explanation:

Alternate interior angles must be congruent.

3x - 2 = 2x + 5

x = 7

Tom starts at point A and then walk 3km east to point B and then walks 4km north to point C calculate the bearings and distance of point C to point A

Answers

Answer:

5km

Step-by-step explanation:

Please check the attached image for a diagram explaining this question

The distance from A to C can be determined using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

3² + 4²

= 16 + 9

= 25

determine the square root of 25

√25 = 5km

15 POINTS AND BRAINLIEST!!!

Answers

Answer:

option C

Step-by-step explanation:

2, 4, 6

i don't know whether it is correct or not...

Annapolis Company purchased a $4,000, 6%, 5-year bond at 101 and held it to maturity. The straight line method of amortization is used for both premiums & discounts. What is the net cash received over the life of the bond investment? (all money received minus all money paid, round to nearest whole dollar)

Answers

Answer:

The answer is "[tex]\bold{\$1160}[/tex]"

Step-by-step explanation:

Calculating total paid money:

[tex]= \$4000 \times 101\% \\\\= \$4000 \times \frac{101}{100} \\\\=\$40 \times 101\\\\=\$4040[/tex]

[tex]\text{Total received money = Principle on Maturity + Interest for 5 years}[/tex]

                                   [tex]= \$4000 + \$4000\times 6\% \times 5 \\\\= \$4000 + \$4000\times \frac{6}{100} \times 5 \\\\= \$4000 + \$40 \times 6 \times 5 \\\\= \$4000 + \$40 \times 30 \\\\= \$4000 + \$1200 \\\\= \$5200 \\\\[/tex]

Total earnings over the life of the corporate bond

[tex]= \$5200 - \$4040 \\\\=\$1160[/tex]

2x²+10x+12 اريد مساعده

Answers

Answer:

2(x+2)(x+3)

Step-by-step explanation:

5. A monument casts a 78 ft. shadow at the same time that a vertical yardstick casts a 4.5 ft. shadow. How high is the monument?​

Answers

Hello,

Using Thalès 's theorem:

Let's h the height of the monument.

[tex]\dfrac{1}{h} =\dfrac{4.5}{78} \\\\h=\dfrac{78}{4.5} =\dfrac{156}{9} \approx{17.3\ (ft)}[/tex]

If you don't know what is the Thalès's theorem,

imagine that the similar triangles.

The graph below have the same shape. What is the equation of the graph?

Answers

Answer:

C

Step-by-step explanation:

The graph has been translated down 4 units and moved to the right 2 units

so correct answer is C (x-2)^2-4.

What is the slope of the line that contains the points in the table

Answers

Answer:

C. -5

General Formulas and Concepts:

Algebra I

Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from table

Point (-1, 6)

Point (0, 1)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                              [tex]\displaystyle m = \frac{1 - 6}{0 - -1}[/tex]Subtract:                                                                                                            [tex]\displaystyle m = \frac{-5}{1}[/tex]Simplify:                                                                                                             [tex]\displaystyle m = -5[/tex]

In right ΔDEF, DF = 20, m∠ F = 90˚, EF = 17. Which of the following is true? Does option 5 apply

Answers

Doesn’t apply because tan is TOA meaning opposite/adjacent so what happens is that your numbers 17 and 20 are divided nowhere having to do with a square root

solve: − <− + 7( − 2)
(show your work)

Answers

Answer:

hope it helps.

stay safe healthy and happy...

What is the gradient of a line perpendicular to a line with a gradient of -6?

Answers

Answer:

1/6

Step-by-step explanation:

Gradient of a line perpendicular to a line with a gradient of m = -1/m

Gradient of a line perpendicular to a line with a gradient of -6 = -1 /-6 = 1/6

Tony Stark is trying to improve his Iron Man suit by increasing its power. One modification will cost $350 million, of which the US Government will pay $110 million, and his contractor will offer a 30% discount on the entire cost of the project. If he has half the remainder in petty cash, how much does he still need to raise?'

The total cost is $350 million.

The US Government is offering to pay $110 million.

A contractor is offering to reduce the total cost by 30%.

Tony has enough money to pay the remaining costs out of petty cash.

Answers

69 Nicce elon musk would be proud

Answer:

I am a piano so yeah I'm just typing to fill the character requirement

Step-by-step explanation:

get got

Someone tell me where everyone is going right please !!

Answers

Answer:

Everyone's action is correct except Luis

luis's equation is wrong because he flipped the inequality sign when he subtracted

true inequality ;

2.4b + 6.5 > -8.1

so Luis wrong

HAVE A NİCE DAY

Step-by-step explanation:

GOOD LUCK :D

greeetings from Turkey ツ

Answer:

(B) Luis's, because he flipped the inequality sign when he subtracted

Step-by-step explanation:

Let's evaluate each answer choice:

"Amelia's, because the variable term must be isolated on the left side"

This answer choice is wrong! Whichever side the variable term is isolated on DOESN'T affect the answer of the problem.

"Luis's, because he flipped the inequality sign when he subtracted"

This answer choice is right! Only flip the inequality sign when dividing a NEGATIVE number.

"Shauna's, because she did not apply the subtraction property of equality properly"

This answer choice is wrong! Shauna correctly applied the subtraction proper by subtracting 6.5 from both sides.

"Clarence's, because the terms he added together were not like terms"

This answer choice is wrong! Clarence added 8.1 to both sides, so he added 8.1 to 6.5, which are like terms.

Hope it helps (●'◡'●)

For the function y=log(x-2)+1 which of the following statements is true? (see picture) (WILL GIVE BRAINLIEST)

Answers

Answer:

B.

Step-by-step explanation:

Other Questions
Why is the title of the story: The Good Samaritan? Explain. Robert is writing some checks. Write the numbers in numerals. Given h(x) = 3x - 6x +4, find h( - 6).....h( - 6) = Aaron, Blaine, and Cruz are solving the equation 4 7 (7 n) = 1. Aaron started his solution by multiplying both sides of the equation by 7 4 . Blaine started by using the distributive property to multiply 4 7 by both 7 and n. Cruz started by dividing both sides of the equation by 4 7 . P is inversely proportional DY. IF P=1.2=when y=100, calculatea the value of p when y=4b the value of y when p=3 A sailor (work)_____________ on a ship or a boat. Why did the Native American's observe the stars? What is the mean of the following list of extra credit points earned on a statistics test?10,8,18,17,7 Diseases I and II are prevalent among people in a certain population. It is assumed that 11% of the population will contract disease I sometime during their lifetime, 16% will contract disease II eventually, and 2% will contract both diseases. (a) Find the probability that a randomly chosen person from this population will contract at least one disease. .25 Correct: Your answer is correct. (b) Find the conditional probability that a randomly chosen person from this population will contract both diseases, given that he or she has contracted at least one disease. (Round your answer to four decimal places.) Choose the FALSE statement about undernourishment and malnourishment in the world. a. There is enough food produced on the planet to meet the populations nutritional needs. b. Producing more meat is the most effective way to increase food access. c. Deforestation can create more arable land to feed more people. d. Some areas have more food than they can use while other areas don't have enough food. Arrange the following events in proper chronological order: Question: 71 of 73 a. The giving of the Law b. The atoning death of Christ c. Malachi prophesies d. The promise to Abraham e. creation and fall f. Pentecost g. Exile in Babylon h. David is King over Israel i. Paul is shipwrecked j. The Judges rule over Israel List 4 Black American theatre makers (discussed in lecture) and briefly describe some of their significant contributions to contemporary theatre find the missing side length in the image below what is democracy why democracy using trig to solve for the missing angle which primitive organic molecule was essential to form lipid bilayer? Researchers studied symptom distress and palliative care designation among a sample of 710 hospitalized patients. Controlling for age, they used a t-test to compare average distress from nausea scores in men and women. Lower scores indicated less distress from nausea. They report men had an average score of 1.02 and woman had an average score of 1.79. Which statement is correct?(2pts)Select Men had significantly less distress from nausea. as your answerMen had significantly less distress from nausea.Select Men had half as much distress from nausea as woman but we can not determine if this is a significant difference. as your answerMen had half as much distress from nausea as woman but we can not determine if this is a significant difference.Select Men had less distress from nausea on average than women but we can not determine if this is a significant difference. as your answerMen had less distress from nausea on average than women but we can not determine if this is a significant difference.Select There is a positive correlation between distress from nausea and gender. as your answerThere is a positive correlation between distress from nausea and gender. 13Select the correct answer.Which statement defines equilibrium in a graph showing demand and supply curves?OA.It is the point where the demand and supply curves intersect.OB.It is the point where the demand and supply curves begin.. .It is the point on the demand curve where demand is highest.OD. It is the point on the supply curve where supply is highest.ResetNext 1. alveoli, tiny air sacs within the lungs muscle below the lungs used for, 2. bronchi, breathing the two tubes into which the, 3. diaphragm, trachea divides before entering the lung Back in the 15th century in Nuremberg, lived a family with eighteen children. Eighteen!Despite their seemingly hopeless financial condition, two of them had a dream. They both wanted to pursue their talent for art, but they knew very well that their father would not be able to send either of them to Nuremberg to study at the Academy.After many long discussions the two boys, Albert and Albrecht, finally worked out a pact. They would toss a coin. The loser would go down into the nearby mines and with his earnings, support his brother while the winner would attend the Academy. And, when that brother who won the toss completed his studies, in four years, he would support the other brother at the Academy, either with sales of his art work or, if necessary, also by labouring in the mines. They tossed a coin on a Sunday morning after church. Albrecht Durer won the toss and went off to the Academy. Albert went down into the dangerous mines and for the next four years financed his brother, whose works at the Academy were almost an immediate sensation. Albrechts etchings, his wood cuts and his oils were far better than most of his professors. And by the time he graduated, he was beginning to earn a considerable sum for his commissioned works.When the young artist returned to his village, the Durer family held a festive dinner at their lawn to celebrate Albrechts triumphant homecoming. After a long and memorable meal, punctuated with music and laughter, Albrecht rose from his honoured position at the head of the table to drink a toast to his beloved brother for the years of sacrifice that had enabled him to fulfil his ambition. His closing words were, And now, Albert, blessed brother of mine, now it is your turn. Now, you can go to Nuremberg to pursue your dream, and Ill take care of you.All heads turned in eager expectation to the far end of the table where Albert sat, tears streaming down his pale face, shaking his lowered head from side to side while he sobbed and repeated, over and over, No..no.nono.Finally, Albert rose and wiped the tears from his cheeks. He glanced down the long table at the face he loved, and then holding his hands close to his right cheek, he said softly, No brother I cannot go to Nuremberg. It is too late for me. Look. Look what 4 years in the mines have done to my hands! The bones in every finger have been smashed atleast once and lately I have been suffering from arthritis so badly in my right hand that \I cannot even hold a glass to return your toast, much less make delicate lines on parchment or canvas with a pen or a brush. No, brother for me it is too lateTo pay homage to Albert for all that he had sacrificed, Albrecht Durer painstakingly drew his brothers abused hands with palms together and thin fingers stretched skywards. He called his powerful drawings simply hands, but more than 450 years later the entire world almost immediately opened their hearts to his great masterpiece and renamed his tribute of love, The Praying hands.1. The Durers were a) mine ownersb) land lordsc) very richd) poor2. Albert and Albrecht dreamt of a) pursuing artb) studying at the universityc) becoming richd) getting on top3. The brother who won the toss would a) go to the Nuremberg Academyb) work in the minesc) stay at home to look after the familyd) become the artist.4. They tossed the coin a) on a Sunday morning after Churchb) on a Sunday morning before Churchc) on a Monday morning after Churchd) on Sunday mornings after Church5. Albrecht's works at the Academy were a) mediocreb) highly appreciatedc) run of the milld) a cause of envy among his professors6. The Durer family held a festive dinner ...a) to celebrate Albert's sacrificeb) to honour both their sonsc) to celebrate Albrecht's successd) to celebrate the reunion7. It was too late for Albert because i) he lost interest in artii) he doubted his ability to match his brother's talentiii) he had arthritis in his right handiv) he had delicate lines on his hand8. Which word out of the following can best replace 'financed' in the text?a) createdb) imaginedc) fundedd) aided9. Which word out of the following can best replace 'parchment' in the text? a) earthb) paperc) tabled) wall10. The duration of the course at the Academy was... a) two yearsb) three yearsc) four yearsd) four years and internshippls tell me the answer i will give u 100 points only for correct answers