Question

What is the value of y in the solution to the following system of linear equations?

(2x+2 = y
(12y = 5x-1

Answer 1

Substitute 2x + 2 in for y

12(2x + 2) = 5x - 1

Simplify

24x + 24 = 5x - 1

Subtract 24 from both sides

24x = 5x - 25

Subtract 5x from both sides

19x = -25

x = -25/19

Substitute x into either equation

2(-25/19) + 2 = y

-50/19 + 38/19 = y converted 2 into 38/19

-12/19 = y