Answer
{(2,-1)}
Work Step by Step
y=3x-7
Plug this value for y into the other equation.
2x-3y=7
2x-3(3x-7)=7
2x-3(3x)-3(-7)=7
2x-9x+21=7
-7x+21=7
-7x+21-21=7-21
-7x=-14
x=$\frac{-14}{-7}$
x=2
Plug this value for x into the first equation to find y.
y=3(2)-7
y=6-7
y=-1
Therefore the solution is {(2,-1)}
