Lin is solving this system of equations:
{ 6x – 5y = 34
{ 3x + 2y = 8

She starts by rearranging the second equation to isolate the y variable: y = 4- 1.5x. She then substituted the expression 4 - 1.5x for y in the first equation, as shown below:
6x-5(4-1.5x) = 34
6x-20-7.5x = 34
-1.5x = 54
x = -36

y = 4-1.5x
y = 4-1.5 ∙ (-36)
y = 58

Check to see if Lin's solution of (-36,58) makes both equations in the system true.