Question

(50 points & Will give brainliest)
A pair of equations is shown below:
y = 7x − 8
y = 5x − 2
Explain how you will solve the pair of equations by using substitution
- Show all steps with numbers
- Explain what you did on every step with a sentence or two
- Use full sentences and proper terminology

Answer 1

Answer:

x = 3 , y = 13

Step-by-step explanation:

Note that both equations is equal to y. Set the two equations equal to each other

y = 7x - 8; y = 5x - 2

7x - 8 = y = 5x - 2

7x - 8 = 5x - 2

Isolate the x. Subtract 5x and add 8 to both sides

7x (-5x) - 8 (+8) = 5x (-5x) - 2 (+8)

7x - 5x = -2 + 8

Simplify.

(7x - 5x) = (-2 + 8)

2x = 6

Isolate the x. Divide 2 from both sides

(2x)/2 = (6)/2

x = 6/2

x = 3

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Plug in 3 for x in one of the equations.

y = 7x - 8

y = 7(3) - 8

Simplify. Remember to follow PEMDAS.

y = 7(3) - 8

y = 21 - 8

y = 13

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x = 3, y = 13 is your answer

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