Answer
{(20,-21)}
Work Step by Step
y=2x-61
Plug this value for y into the other equation.
y=39-3x
2x-61=39-3x
2x+3x-61=39-3x+3x
5x-61=39
5x-61+61=39+61
5x=100
x=$\frac{100}{5}$
x=20
Plug this value for x into the first equation to find y.
y=2(20)-61
y=40-61
y=-21
Therefore the solution is {(20,-21)}