Question

In Lesson 6.2.1, you developed the Equal Values Method of solving a system of equations. You rewrote the equations so that both equations were in "y = " form. Write the second equation in “y = ” form so you can solve the system of equations below.
y = −x − 7
5y + 3x = −13

Answer 1

ANSWER

y= -(3x+13)/5

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Answer 2

y = -(13 + 3x)/5  ,   x = -11 ,  y =4

Step-by-step explanation:

y = −x − 7

=> y = -(x + 7)

is already in form y =

5y + 3x = -13

subtracting 3x from both sides

=> 5y + 3x - 3x = -13 -3x

=> 5y = - 13 - 3x

Diving by 5 both sides

=> y = -(13 + 3x)/5

Equating y

-(x + 7) = -(13 + 3x)/5

=> 5x + 35 = 13 + 3x

=> 2x = -22

=> x = -11

y = -(x + 7)

=> y = -(-11 + 7)

=> y =4

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