Question

Solve the system of linear equations given below.

Answer 1

Answer: C

Steps:  4x + y = -4,    x + y = 2

Isolate the x for (x + y = 2):       x = 2 - y

Plug the value of x into the other equation:   4(2 - y) + y = -4

Simplify: -4y + 8 + y = -4

Combine like variables (letters): -4y + y = -3y

So -3y + 8  = -4

Subtract eight from both sides: -3y + 8 - 8 = -4 - 8

-3y = -12

Divide both sides by negative three: -3y ÷ -3  =  -12 ÷ -3

Simplify: y = 4

Plug the value of y into one of the original equations (I'll use  x + y = 2):  

So x + 4 = 2

Isolate the x variable: x = -2