Answer
{(2,-3)}
Work Step by Step
2x-y=7
2x-2x-y=7-2x
-y=7-2x
-1(-y)=-1(7-2x)
y=-7+2x
Plug this value for y into the other equation
3x+2y=0
3x+2(-7+2x)=0
3x-14+4x=0
3x+4x-14=0
7x-14=0
7x-14+14=0+14
7x=14
x=$\frac{14}{7}$
x=2
Plug this value for x into the first equation to find y
y=-7+2(2)
y=-7+4
y=-3
Therefore the solution is {(2,-3)}