Answer
{(-$\frac{2}{5}$,-$\frac{11}{5}$)}
Work Step by Step
-3x+y=-1
y=-1+3x
Plug this value for y into the other equation.
x-2y=4
x-2(-1+3x)=4
x-2(-1)-2(3x)=4
x+2-6x=4
x-6x=4-2
-5x=4-2
-5x=2
x=$\frac{2}{-5}$
x=-$\frac{2}{5}$
Plug this back into the first equation to find y.
y=-1+3x
y=-1+3(-$\frac{2}{5}$)
y=-1-$\frac{6}{5}$
y=-$\frac{5}{5}$-$\frac{6}{5}$
y=-$\frac{11}{5}$
Therefore the solution is {(-$\frac{2}{5}$,-$\frac{11}{5}$)}
