Answer
$(-1, -3)$
Work Step by Step
Simplify the first equation in order to be able to substitute in order it would be easier to plug in $y$ into the second equation:
\begin{align*}-3y&=-6x+3\\
\frac{-3y}{-3}&=\frac{-6x+3}{-3}\\
y&=2x-1\end{align*}
With $y=2x-1$, substitute $2x-1$ to the $y$ in the second equation to obtain:
\begin{align*}
5x-5(2x-1)&=10\\
5x-10x+5&=10\\
-5x+5&=10\\
-5x&=5\\
x&=-1
\end{align*}
Substitute $x=-1$ into one of the equations to find y:
\begin{align*}
6(-1)-3y&=3\\
-6-3y&=3\\
-3y&=9\\
y&=-3\end{align*}
Thus, the solution is $x=-1$ and $y=-3$ or $(-1, -3)$.
