Answer
\[\left\{ \left( 4,-2 \right) \right\}\]
Work Step by Step
Substitute the value of \[x=3y+10\]in the first equation and solve
\[\begin{align}
& 2x+3y=2 \\
& 2\left( 3y+10 \right)+3y=2 \\
& 6y+20+3y=2 \\
& 9y+20=2
\end{align}\]
Solve further as
\[\begin{align}
& 9y=2-20 \\
& y=-\frac{18}{9} \\
& y=-2
\end{align}\]
Substitute the value of \[y=-2\]in the second equation as follows:
\[\begin{align}
& x=3\left( -2 \right)+10 \\
& =-6+10 \\
& =4
\end{align}\]
Hence, the value of x is 4 and y is −2.
