Question

what is the solution of the system of equation y=-3x+7 y=2x-8

Answer 1

what have you got so far?

Answer 2

Solve the equations simultaneously.
Since we have y=-3x+7 and y=2x-8,
then -3x+7=2x-8
collecting similar terms together we get
7+8=2x+3x
15=5x
x=3.
Now substituting x into one of the equations (anyone would do)
y=2x-8, where x=3
y=2(3)-8
y=-2.
Hence the solutions are x=3 and y=-2