What is the solution for -x+y=4 and 3x-2y=-7

To start this, get an equation in terms of one variable - lets choose the first one

-x+y=4 ---> y=4+x

now we plug this into the second equation

3x-2(4+x)=-7

we can now simplify that equation in order to get a numeric value for our x variable

3x-2(4+x)=-7 ---> 3x-8-2x=-7 ---> x-8=-7 ---> x=1

now we can plug that value into one of the original equations in order to solve for y

-1+y=4 ---> y=5