Answer
The required value is $x=-2,y=-4$
Work Step by Step
We have to subtract 2 times the second equation from 5 times the first equation and obtain,
$\begin{align}
& 5\left( 2x+3y \right)-2\left( 5x-10y \right)=5\left( -16 \right)-2\left( 30 \right) \\
& 10x+15y-10x+20y=-80-60 \\
& 35y=-140 \\
& y=-4
\end{align}$
Substitute the value of $y=-4$ in the first equation and solve for x:
$\begin{align}
& 2x+3\left( -4 \right)=-16 \\
& 2x=-16+12 \\
& 2x=-4 \\
& x=-2
\end{align}$
Thus, the value of $x=-2$ and $y=-4$.
