5x−4y=34
−x+8y=22
elimination

Answers

Answer 1

Answer:

The solution to the system of equations is:

[tex]x=10,\:y=4[/tex]

Step-by-step explanation:

Given the system of equations

[tex]\begin{bmatrix}5x-4y=34\\ -x+8y=22\end{bmatrix}[/tex]

Multiply -x+8y=22 by 5:  -5x+40y=110

[tex]\begin{bmatrix}5x-4y=34\\ -5x+40y=110\end{bmatrix}[/tex]

so adding the equations

[tex]-5x+40y=110[/tex]

[tex]+[/tex]

[tex]\underline{5x-4y=34}[/tex]

[tex]36y=144[/tex]

solve 36y = 144 for y:

[tex]36y=144[/tex]

divide both sides by 36

[tex]\frac{36y}{36}=\frac{144}{36}[/tex]

Simplify

[tex]y=4[/tex]

For 5x-4y=34 plug in y=4

[tex]5x-4\cdot \:4=34[/tex]

[tex]5x-16=34[/tex]

Add 16 to both sides

[tex]5x-16+16=34+16[/tex]

Simplify

[tex]5x=50[/tex]

Divide both sides by 5

[tex]\frac{5x}{5}=\frac{50}{5}[/tex]

Simplify

[tex]x=10[/tex]

Therefore, the solution to the system of equations is:

[tex]x=10,\:y=4[/tex]


Related Questions

2. Simplify the expression by combining like terms. 3y+4y+6
A. 13y
B.7y+6
C.12y+6
D.18y

Answers

B.7y+6

Add 3y and 4y together since it’s both y

Answer:

B

Step-by-step explanation:

Y is the like term here, so add them together: 3y+4y=7y.

So now you have 7y+6

Can anyone give me the awnser?​

Answers

Answer:

Step-by-step explanation:

You want to reverse the algebra and solve for y. First you want to subtract the 'a' to both sides.

x - a = -2by^2

Divide by -1 on both sides

-x + a = 2by^2

Divide by 2b on both sides

(-x + a)/2b = y^2

Take the square root of both sides

[tex]\sqrt{(-x+a)/2b}=y[/tex]

s=ut+ 1/2 at²
u=10 a= -2 t= 1/2
work out the value of s

Answers

s=(10)(1/2)+(1/2)(-2)(1/2)^2
s=5+(-1)(1/4)
s=5-(1/4)
s=4 and 3/4 or 19/4

A new soft drink has 20% less sugar than before.
The drink had 50 grams of sugar originally.
How much less sugar does it have now?

Answers

20% of 50 is 10 (50 x .20 = 10). If the original drink had 50 grams, and the new one has 20% (10 grams) less...then the new drink would have 40 grams of sugar (50-10=40).

The required amount of sugar is given as 40 grams.

Given that,
A new soft drink has 20% less sugar than before. The drink had 50 grams of sugar originally, how much less sugar it has now is to be determined.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
According to the question,
The final amount of sugar = [1 - 0.02][50]
                                  = 40 grams

Thus, the required amount of sugar is given as 40 grams.

Learn more about simplification here:

https://brainly.com/question/1369388

#SPJ2

Which equation could be used for the situation below?


Jenna earns $8 each week by completing chores. She already has $12 in her savings. How much will she have after 4 weeks?


y = 8x + 4


y = 8x


y = 8x + 12

Answers

Answer:

Option C is the correct answer.

Step-by-step explanation:

Per week earning = $8

Amount in savings = $12

y = Total amount

x = Number of weeks

y = 8x + 12

Where we can put x=4 to calculate earning of 4 weeks.

y = 8(4) + 12

y = 32 + 12 = $44

Therefore,

Option C is the correct answer.

What is 5+2 x 1-3+8 and 2+5 x 1

Answers

Answer:

Step-by-step explanation:

1) 5+2*1-3+8 = 5+2-3+8 = 7-3+8 = 4+8 = 12

2) 2+5*1 = 2+5 = 7

Answer:

a) 5+2 x 1-3+8

5+2-3+8

=12

b) 2+5 x 1

2+5

=7

Step-by-step explanation:

Solve the simultaneous equations
y = 4x + 1
y = 2x^2+ 7x - 1

Answers

Answer:

[tex]Given,\\y = 4x+1......(1)\\y = 2x^2+7x-1.............(2)\\Equating~equation (1)~and~(2),\\4x+1 = 2x^{2} +7x-1\\or, 2x^{2}+7x-4x-1-1=0\\or, 2x^{2} + 3x-2=0\\or, 2x^{2} +4x-x-2=0\\or, 2x(x+2)-1(x+2)=0\\or, (x+2)(2x-1)=0\\i.e. x=-2 ~or~ \frac{1}{2} \\When~x=2,~equation(1)~becomes ~y=4(-2) +1=-7\\When~x=-\frac{1}{2},~equation (1)~becomes~y=4(\frac{1}{2}) +1 = 2+1=3[/tex]

So, the required values of x are -2 and 1/2 and that of y are -7 and 3.

if x^3 = 125 what does x equal?
and 3 other questions use >,<, or = to complete the next 3 problems

Answers

Step-by-step explanation:

5×5×5=125

so 7. x=5

8. =

9. >

10. <

Answer:

x^3 = 125

x = 5

Step-by-step explanation:

8) =

9) >

10) <

I NEED HELP OMG PLSSSS

Answers

Answer:

m = 3

Step-by-step explanation:

-5m - 10 = -25

-5m = -15

m = 3

Answer:

[tex] - 5m - 10 = - 25 \\ - 5m = 10 - 25 \\ - 5m = - 15 \\ m = \frac{( - 15)}{ (- 5)} \\ \boxed{m = 3}✓[/tex]

★ m=3 is the right answer.

Olivia wants to know the proportion of students at her school who use a

certain social media app. She interviews a random sample of students at

her school. She finds that 30% of the students in the sample use the app.

What conclusion can she draw from the sample?

А

It is likely that about 30% of the students at her school use the app.

B Exactly 30% of the students at her school use the app.

Every random sample would find that 30% of the students use

the app

It is likely that 30% of the students at her school were selected for

the sample.

Answers

Answer:

A

Step-by-step explanation:

Random sampling is a sampling method where each sample has an equal chance of being chosen. The random sample chosen is meant to be an unbiased representation of the population.

If 30% of the sample uses the app, it means that 30% of the population are likely to use the app

The speed limit on a highway is 70 miles per hour. About how fast is this in miles per minute
PLEASE SOON!!

Answers

Answer:

In the case of 70 mph, time would be 105/70 or 1.5 hours (90 minutes).

please helpp pleasee!!!

Answers

Answer:

The second choice. Because the x-coordinate in the second choice is constant unlike the others, which is a property of a function.

ik you want the points
plzz​

Answers

Answer:

Line 1: Undefined

Line 2: -4/3

Line 3: 4/3

Line 4: Undefined

Line 5: 7/3

Line 6: -7/3

Line 7: 0

Line 8: 0

Line 9: Undefined

Line 11: 0

Line 10 & 12: Undefined

Step-by-step explanation:

Use the slope formula (you can just search up the slope formula)

Also, always remember that a vertical line's slope will be undefined and a horizontal line's slope will be 0 (zero).

I hope this helps!

8t=−32

Help a sister out

Answers

Answer:

t=-4

Step-by-step explanation:

Answer:

t = -4

Step-by-step explanation:

divide each term by 8 and simplify

Select the procedure that can be used to show the converse of the

Pythagorean theorem using side lengths chosen from 2 cm, 3 cm, 4 cm, and

5 cm

Answers

Answer:

The correct option is C

Step-by-step explanation:

I attached an image that forms the complete question.

The converse Pythagorean theorem states that, "If the square of the longest side of a triangle is equal to the square of the other two sides, then the triangle is a right triangle."

That is if c is the longest side of a triangle and then a and b are the other sides, then if,

c² = a² + b², the triangle is a right triangle.

Looking at all the options, option C fits the theorem well. Because

3² + 4² = 5² implies the triangle is a right triangle and the converse theorem is established.

The option D also looks close, but it's not correct because you can just draw any two sides and put the right angle in between them. The longest is always the part of the triangle that is opposite to the right angle, 90°. If for instance, you draw 3 and 5 then put the right angle in between them, 4 will take the position of the longest side which is wrong.

Therefore, the correct option is c.

Answer:

c

Step-by-step explanation:

Which picture shows a rotation of the flag?

Answers

Answer:

it has no pic

Step-by-step explanation:

$2500, 4.5%, 2 years

Answers

Answer:

si=part

=2500×0.045×2

=225...

the answer is C

3x^(2)+5x-2=0

solve step by step using quadratic formula.

Answers

Answer:

x=1/3,-2

Step-by-step explanation:

I’m still getting this thing up to 100%. NO MATTER WHAT THE COST IS.

Answers

Answer:

8 is the answer.

Step-by-step explanation:

Think of 7 positive things and 8 negative things.

O O O O O O O

P P P P P P P P

7 of the positive things will cancel out 7 of the 8 negative things, leaving behind 1 negative things.

#teamtrees #WAP (Water And Plant)

Select all the expressions that are equivalent to 4x + 8

2(2x+4)

2(x+4)

4(x+1)

4(x+2)

2(2x)+2(4)

Answers

Answer:

2(2x+4)  4(x+2)  2(2x)+2(4)

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Ee

Solve each equation.


2x=52x=5

answer asap plz

Answers

Answer:

The correct answer for this problem is 55

Mr. Sampson wants to ship a birthday gift to his son in the navy. To meet shipping requirements at the Local U
Pack It We Ship it Store, the perimeter of the rectangular-shaped gift box must be less than 30 inches. Write
and graph an inequality to describe this situation.

X= length
Y= width

Answers

Answer:

Step-by-step explanation:

If length of the box = x

And width of the box = y

Then perimeter of the box = 2(length + width)

                                            = 2(x + y)

Since, perimeter of the box is less than 30 inches.

2(x + y) < 30

x + y < 15

y < -x + 15

Since, this inequality has a sign of less than, line on the graph will be a dotted line.

y intercept of the dotted line y = 15 (by x = 0)

x intercept of the line x = 15 (by y = 0)

Constraints for the graph will be,

x > 0

y > 0

Now we can plot the dotted line by joining the x and y intercepts.

In this graph common region under the dotted line between x axis and y axis will be the solution area of the given inequality.

Try the following puzzle:

A bat and ball cost $1.10.

The bat costs one dollar more than the ball.

How much does the ball cost?

Answers

Answer:

10 cents

Step-by-step explanation:

the bat cost 1 dollar so subtract 1 dollar from 1.10 and you are left with .10 or 10 cents

Answer:

the ball costs $0.05

Step-by-step explanation:

if the total is $1.10, and the bat is $1 more than the ball, you do

1+2x=1.10. do the algebra, and you get 0.05. hope this helps.

Neeeeddddd helllppp nowwwwww!!!!

Answers

Answer:

the area is 670.32 but it's not in there

can i please get some help asap

Answers

if my math is right it should be b

Parker's dog will be having four puppies. Parker performs a
simulation by tossing a coin to model whether these
puppies will be male or female.
• Let heads (H) = female puppy
• Let tails (T) = male puppy

Answers

Answer:

7/10 70%

Step-by-step explanation:

based on the coin flips, 7 out of 10 of the results have at least 2 female puppies. I hope this is correct :)

Answer: A

Step-by-step explanation: took the quiz and got it right

Which expression is equivalent to -6(3x-2/3)

Answers

Answer:

-18x + 4

Step-by-step explanation:

Chelsea went ice-skating. The ice, her skates, the Zamboni, and the rink building itself were all examples of solids she encountered. She developed a model of the particles in the ice. Which of these statements about the particles present in her model of a solid are true? Choose the three statements that apply.
A.They vibrate in place
B.They slide past each other.
C.They are packed very closely together.
D.They cause the solid to have definite volume and shape.

Answers

C. I’m pretty sure it’s that one if it’s wrong I’m sorry

Find the least common denominator of the fractions. 4/7 and 2/3 A. 21 B. 7 C. 3 D. 10

Answers

Answer:

4/7 has least common denominator

= 0.5( approx.)

Answer:

21 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

find ordered pairs: choose two of the answers below
y=2/3x+5

thank you v much//.
a.(-5,-10)
b.(-3,3)
c.(6,9)
d.(2,8)

Answers

Answer:

b -3,3 c 6,9 hope this helps

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