Answer
{($\frac{17}{7}$,-$\frac{8}{7}$)}
Work Step by Step
2x-y=6
2x-2x-y=6-2x
-y=6-2x
-1(-y)=-1(6-2x)
y=-6+2x
Plug this value for y into the other equation.
3x+2y=5
3x+2(-6+2x)=5
3x+2(-6)+2(2x)=5
3x-12+4x=5
3x+4x-12=5
7x+12=5
7x+12-12=5+12
7x=17
x=$\frac{17}{7}$
Plug this value for x back into the first equation.
y=-6+2($\frac{17}{7}$)
y=-6+$\frac{34}{7}$
y=-$\frac{42}{7}$+$\frac{34}{7}$
y=-$\frac{8}{7}$
Therefore the solution is {($\frac{17}{7}$,-$\frac{8}{7}$)}
