Answer
$(-1,3)$
Work Step by Step
Subtract the second equation from the first (eliminate y)
$0=3x+3$
$-3=3x$
$x=-1$
Back substitute into one of the equations
$y=-x+3$
$y=-(-1)+3$
$y=4$
Solution: $(-1,3)$
Graphing:
$\left[\begin{array}{lll}
x & 0 & 1\\
y=2x+6 & 6 & 8
\end{array}\right]$
$\left[\begin{array}{lll}
x & 0 & 1\\
y=-x+3 & 3 & 2
\end{array}\right]$