Answer
$(-7, -26)$
Work Step by Step
Solve using substitution because you can use $y=4x+2$ (the second equation) to substitute $4x+2$ to $y$ in the first equation:
Hence,
$3x-(4x+2)=5$
$3x-4x-2=5$
$-x-2=5$
$-x=7$
$x=-7$
Plug in $x=-7$ into the equations:
\begin{align*}
y&=4(-7)+2 &\text{and}& &3(-7)-y=5\\
y&=-26 &\text{and}& &y=-26
\end{align*}
Thus, the solution is $x=-7$ and $y=-26$ or $(-7, -26)$.
