Answer
{(4,5)}
Work Step by Step
2x-y=3
3=2x-y
3+y=2x
y=2x-3
Plug this value for y into the other equation.
5x-2y=10
5x-2(2x-3)=10
5x-2(2x)-2(-3)=10
5x-4x+6=10
x+6=10
x=10-6
x=4
Plug this back into the first equation to find y.
y=2x-3
y=2(4)-3
y=8-3
y=5
Therefore the solution is {(4,5)}