Use substitution to solve the system. 5X+3Y=22 Y=2X-11

Answers

Answer 1

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day.

We can solve this problem in two steps, Comprehending, and Solving/Checking our answers. I'll be starting off with Comprehending.

Comprehending

We can solve the problem with substitution by finding out what one variable is equal to in terms of the second variable.

This is what we would call System of Equations where we need to find the point where the lines hit.

We can do this either with Graphing, or Algebra. In this case, we need to use substitution, so it has to be Algebraically.

Now that we know how to solve it/what to do, we can start solving.

Solving

We can solve the problem by first replacing y with its correct value in terms of x. Since we know the two equations, we can begin solving.

[tex]y=2x-11\\5x+3y=22[/tex]

We can solve it by inserting our y value into the y value of the second equation.

[tex]5x+3(2x-11)=22\\5x+6x-33=22\\11x=22+33\\11x=55\\x=5[/tex]

Now that we know our x value, we can solve for y by inserting it into an equation.

[tex]y=2(5)-11\\y=10-11\\y=-1[/tex]

Now that we have solved, we have gotten out point of (5,-1)

We can test this by inputting it into an equation. (Any of the latter).

[tex]5(5)+3(-1)=22?\\25-3=22?\\22=22[/tex]

Now that we have checked our answer and it appears correct, we have gotten our answer of (5,-1).

Answer 2

Answer:

(5, - 1 )

Step-by-step explanation:

5x + 3y = 22 → (1)

y = 2x - 11 → (2)

Substitute y = 2x - 11 into (1)

5x + 3(2x - 11) = 22 ← distribute parenthesis and simplify left side

5x + 6x - 33 = 22

11x - 33 = 22 ( add 33 to both sides )

11x = 55 ( divide both sides by 11 )

x = 5

Substitute x = 5 into (2)

y = 2(5) - 11 = 10 - 11 = - 1

solution is (5, - 1 )


Related Questions

Anybody know the answer?????

Answers

Which one do you need

The value of a new car in 2015 was 40,000 dollar. It depreciates each year by 7%. How much will the car be worth in 2026?

Answers

Answer: $30,800

Step-by-step explanation: First you have to subtract 2026 - 2015, which is 11 years. Since it depreciates by 7% each year, you would multiply 7 by 11, which is 77. 77 is the percent of depreciation of the car. After that, you would divide 40000 by 100, which is 400. Then you multiply 400 by 77 to get you final answer.

Write the equation of a line that
passes through the following points
:
Point 2: (0,-8)
Point 1: (-3,0)

Answers

Answer:

[tex]y = \frac{-8}{3}x - 8[/tex]

Step-by-step explanation:

Solving for the equation of the line with two points:

Let's remind ourself of the slope - intercept formula:    [tex]y = mx + b[/tex]

We first have to find the slope of the line. This is found by using the formula :

[tex]\frac{y_1 - y_2}{x_1 - x_2}[/tex]

We have to find the change in y (Δy) and divide it by the change in x (Δx)

We then have to plug in a coordinate given to us, and use the point's x and y value to find the y - intercept

Step 1: Slope

Let's use the slope formula

[tex]\frac{0 - (-8)}{-3 - 0} = \frac{8}{-3}[/tex]

Slope = -8/3

Step 2: Y - Intercept

To find the y - intercept, we'll update our slope - intercept formula with the slope, and plugin a point. Let's use (-3,0)

[tex]y = \frac{-8}{3}x + b[/tex]

[tex]0 = \frac{-8}{3}(-3) + b[/tex]

[tex]0 = \frac{24}{3} + b[/tex]

[tex]0 = 8 + b[/tex]

[tex]b = -8[/tex]

Step 3: Equation

Let's input our slope and y - intercept to the equation     [tex]y = mx + b[/tex]

Slope = -8/3

Y - Intercept = -8

Equation:    [tex]y = \frac{-8}{3}x - 8[/tex]

-Chetan K

What is the least common denominator of 11/12 5/6 1/5

Answers

Answer:

11/12 = 132

5/6 = 30

1/5 = 5

All of the numbers after the equal sign, are LCDs of the fraction.

Have a great day friend! :D

Answer:

60

Step-by-step explanation:

I’m not sure how to answer this in a Graph, Diagram, and Algebra(algebraic reasoning too) for a,b,c, and d. Can someone please help me?

Answers

The outline that that illustrate how k values change so that the solutions are the ones in the question are as follows

(a) The number line solution contains zero

Using algebra, we have;

The given quadratic inequality is; -x² + 4 ≥ x + k

The number line solution is the expression of the solution on the number line.

We have;

-x² + 4 ≥ x + k

-x²  - x + 4 - k ≥ 0

Dividing by (-1), we get;

x² + x - 4 + k ≤ 0

When - 4 + k = -2

k = 2, we get;

x² + x - 4 + 2 ≤ 0

x² + x - 2 ≤ 0

(x - 1)·(x + 2) ≤ 0

Given that the result of the product is less than zero, we have;

((-3) - 1)·((-3) + 2) > 0

Therefore, the solution are;

x ≤ 1, or x ≥ -2

Which gives

-2 ≤ x ≤ 1

Using diagram;

The solution of the above inequality includes 0 as shown in the attached number line

Graphically;    

The graph of the inequality is plotted using MS Excel, showing the solution set, of -2 ≤ x ≤ 1

(b) There are no solution to the inequality

In the present case, we have;

((-1)² - 4×(-1) × (4 - k) <  0

17 - 4·k < 0

[tex]k > \dfrac{17}{4}[/tex]

Let k = 5, we have;

-x² + 4 ≥ x + k

-x² - x + 4 - 5 ≥ 0

-x² - x  -1 ≥ 0

The discriminant, is (1² - 4×(-1)×(-1)) = -3 < 0, therefore, there are no real

roots to inequality, and -x² - x  -1 is not equal to zero.

Graphically

Please find attached the graph of the function, which does not intersect with the x-axis, and therefore, has no values at which y = 0

(c) The solution is a single number

-x² + 4 ≥ x + k

When k = x + 5, we have;

0 ≥ x² + 2·x + 1

0 ≥ (x + 1)²

Therefore;

The only solution is; x = -1

Using diagrams:

Please find attached the solution of the function on the number line

Graphically

The graph of the function showing only one intercept is attached

Learn more here:

https://brainly.com/question/11982012

Increase 1000 in the ratio 2:5

Answers

Answer:

1400

Step-by-step explanation:

2/5×1000=400

1000+400=1400

Step-by-step explanation:

Let the new quantity be x.

x:1000=2:5

x/1000=2/5

(multiply both side by 1000)

[tex]1000 \times \frac{x}{1000} = 1000 \times \frac{2}{5} [/tex]

[tex]x = 400[/tex]

IF ANYONE IS A GENIUS AT MATH PLZ HELP AND ANSWER MY LATEST QUESTION!! I RLLY NEED HELP, IM LITERALLY GONNA CRY!!! IF YOU CAN'T FIND IT, BELOW IS AN IMAGE OF THE MATH SCENARIOS THAT I NEED HELP WITH!!! PLZ EXPLAIN EACH AND EVERY PART.

Answers

Answer:

Step-by-step explanation:

im not a genius at math, but i will give it a shot

scenario 3:

let m= cost per minute for WDE, let b= flat fee for WDE

42.5=50m+b

65=100m+b

subtract the two equations

65-42.5=50m

m= .45 (this is the cost per minute on WDE wireless)

plug in m=.45 into the first equation

42.5=50(.45)+b

b= 20 (this is the fixed monthly fee for WDE wireless)

HTR offers .25 per minute, whereas WDE offers .45 a minute which means that HTR has the cheaper per minute rate

htr has the equation .25x+30

WDE has the equation .45x+30

set them equal to each other and solve for x .25x+30=.45x+20

x= 50 minutes

Scenario 4:

Same deal as last question, let m=cost/movie, b=flat fee

41.25=5m+b

57.5=10m+b

subtract the two equations and solve for m

57.5-41.25=10m-5m+b-b

m= 3.25 (slope)

b=25  (y intercept)

y=3.25x+25

y=3.25(125)+25  = 431.25

3.25x+25=2.75x+35

.5x= 10

x= 20

Shonda has $125. She spends 35% of the money she has on a concert ticket. How much did Shonda pay for the concert ticket?

Answers

Answer:

$43.75

Step-by-step explanation:

125 x .35 = $43.75

(a) 35.8 + 10 need answer

Answers

[tex]⟹35.8 + 10 \\ = 45.8[/tex]

We are gonna add tge whole numbers together 35+10 which is equal 45 then we are going to add to the number tge decimal point and 8 so it’s going to be 45.8

1. Which of the following situations could be represented by the equation y = - 2x + 88

a) Trey has traveled 2 miles and continues to travel ala speed of 88 miles per a hour b) Greg bas $88 in a short term savings account, and he deposits $2 each day. c) The temperature in Williamsburg Is 88° and increases about 2° each houn d) Priscilla is grading her homework and has an 88 so far. She will lose 2 points​

Answers

Answer:

Y = -44 (hope this helps :)

Step-by-step explanation:

=2Y+88

We move all terms to the left:

-(2Y+88)=0

We get rid of parentheses

-2Y-88=0

We move all terms containing Y to the left, all other terms to the right

-2Y=88

Y=88/-2

Y=-44

Answer:

its D

Step-by-step explanation:

I got this correct in schoology

Can someone pls help me
Solve for x
Please show your work

Answers

Answer:

Hence, the value of x is 9°

Step-by-step explanation:

7x + 14 = 9x - 4. [(Corres. s]

⇛ 7x - 9x = -4 - 14

⇛-2x = -18

⇛x = -18÷-2

⇛x = 18/2

∴ x = 9

NOW,

7X + 14 = 7(9) + 14 = 63 + 14 = 77°.9X-4 = 9(9) - 4 = 81 - 4 = 78°.

Read more:

Similar Question

find the measure of angle 1, given that AB || CD...

https://brainly.com/question/3983123?referrer

please help asap…………

Answers

Answer: linear

Step-by-step explanation:

Can someone solve this for me please? I would be very thankful <3

Answers

Answer:

running speed is horse power

so up with horse

it will tell its power

go and denge it

so you will get your answer by this process

Which of these are ways to measure a resting heart rate?
Select all that apply.

Answers

Answer:

Place the index and middle fingers on the neck to the side of the windpipe to find the pulse.

Place two fingers between the bone and the tendon over the radial artery of the wrist to find the pulse.

Step-by-step explanation:

I did a test and that was a correct answer.

In the figure, parallelogram PQSR and Triangle PQT are standing
on the same base and between, the same parallel lines. The
area of triangle PQT is 50 cm?. Find the area of Triangle PRS.

Answers

Answer:

50 cm²

Step-by-step explanation:

We know that PQRS is a paralleogram so we know that RS = PQ.

We also know that ΔPQT and ΔPRS has the same height . The the area is the same, from the area of that we can get 50 cm²

Graph the equation and identify the intercept(s). If the equation is linear, find the slope of the line.

4. 2x - 3y = 6
5. y = 4.5
6. y = | x - 1 | -2

Answers

Answer:

Graphs shown below.

4.) x-intercept: (3,0)  y-intercept: (0,-2)  slope: 2/3

5.) x-intercept: none  y-intercept: (0,4.5)  slope:0

6.) x-intercept: (3,0) and (-1,0)  y-intercept: (0,-1)   slope: none

#4 is blue graph, #5 is green graph, #6 is red graph

Step-by-step explanation:

** #4 is blue graph, #5 is green graph, #6 is red graph **

pls help me out
6x + 12x = 90

Answers

Answer:

x=5

Step-by-step explanation:

6x+12x=90

18x=90

x=90/18

x=5

Answer:

x =5

Step-by-step explanation:

To solve for x:

1: add like-terms

          6x+ 12x = 90

Now it is:  18x =90

2: use division on both sides to solve for the variable

           18x= 90

           18x/18 = 90/18

              x = 5

Which graph represents this equation?
y=-2 (24)
-2 -1
1 2314
O1 2 3 4
*232)
2 3 4

Answers

Answer:

its the second option under the first one... which is more than likely C.

Step-by-step explanation:

using the number 2, 4, 6 and 8 write an expression that equals 60

Answers

Answer:

(8-2)(4+6)

Step-by-step explanation:

1. (8-2)(4+6)

6x(4+6)

2. 6x10

3. =60

Can someone help:(( graph y=2x

Answers

Answer:

Look at the attached screenshot

Step-by-step explanation:

Slope is 2.

Since y-intercept is not given, we can assume that it is 0.

Answer:

Step-by-step explanation:

Make a table of points for y = 2x, and then plot these points, and finallyl draw a line through the points:

x   y

0   0

2   4

3   6 (and so on).

Plot this (0, 0) (it's the origin).  Next plot either (2, 4) or (3, 6) (or both).  Then draw a line through these points.  

i don't know what this means someone help?????

Answers

Answer:

2

Step-by-step explanation:

so 10÷2=5 6÷2=3 3/5

that what u need?

Answer:

the answer would be 2      

Step-by-step explanation:

two tanker contains 700 L + 750 mL of milk respective find the maximum capacity of a container which the musical each container exact number of time ​

Answers

Answer:

350L 375ML

Step-by-step explanation:

What is the solution set of (x - 2)(x - 3) = 2?.

Answers

The solution set is X=1 and x=4

please help me :) there is a picture

Answers

Yes it’s on the line.
Explanation: the ratio of the point (20,16) is 5/4 and the slope of the line is 5/4. You can also take the slope of (20,16) and (4,5) they also have the slope 5/4

Calculate the exact value of 0.428 ×2.75

Answers

[tex]0.428 ×2.75 = 1.177[/tex]

- BRAINLIEST ANSWERER

Which equations are true and can be used to find the factors of 32? Check all that apply. A. 32 divided by 1 = 32 B. 32 divided by 2 = 16 C. 32 divided by 3 = 12 Or D. 32 divided by 8 =4

Answers

Answer:

A, B, D are correct

Step-by-step explanation:

A. 32 divided by 1 = 32

Works, it is correct

B. 32 divided by 2 = 16

Works, it is correct

C. 32 divided by 3 = 12

Incorrect, 12 x 3 = 36, not 32

D. 32 divided by 8 = 4

Works, it is correct

-Chetan K

A,B, and D are correct 32 divided by 3 is 10.67 so it’s not a whole number. Hopefully I helped plz rate

2^-3 x 3^-2

what’s the answer?

Answers

Answer:

1/72

Step-by-step explanation:

[tex]2^{-3} * 3^{-2} =[/tex][tex]1/2^3 * 1/3^2 =[/tex][tex]1/8*1/9=[/tex][tex]1/72[/tex]

[tex]\\ \sf\longmapsto 2^{-3}\times 3^{-2}[/tex]

[tex]\\ \sf\longmapsto( \dfrac{1}{2})^3\times( \dfrac{1}{3})^2[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{8}\times \dfrac{1}{9}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{72}[/tex]

can someone help me?!!! I need help!! ASAP

Answers

Answer:

x=4.6

Step-by-step explanation:

step 1 : calculate angle P since you know 2 angles

Step 2 : 57° - 90° = 180° [interior angles of a triangle ]

Step 3 : x/sin(33°) =7.1/sin(57°)

: x= 7.1Sin(33°)/sin(57°)

: x=4.6

What is the value of x? If necessary leave your answer in the simplest radical form.

Answers

Answer:  32

Explanation:

This is a 30-60-90 triangle as shown by the angles. These types of triangles have their shortest leg opposite the smallest angle, and the connection between the short and long legs is

long = short*sqrt(3)

We see that the long leg is 16*sqrt(3) units long, which must mean the short leg is 16 units. This doubles to 32 when we go from short leg to hypotenuse

hypotenuse = short*2

Find the values of x and y

Answers

Answer:

y=30

x=60

Step-by-step explanation:

The triangle has all sides equal therefore all the angles are equal.

For all the angles to be equal and add up to 180 (sum of angles in a triangle is 180), each angle has to be 60.

Therefore y=90-60

=30

x=180-(30+90)

=60

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