Answer
The system of linear equation is,
$\begin{align}
& 2x+3y=17 \\
& 3x+5y=29
\end{align}$
Work Step by Step
More than one solution is possible. Consider the following system:
$\begin{align}
& 2x+3y=17 \\
& 3x+5y=29
\end{align}$
Check to see if $\left( -2,7 \right)$ is a solution by substituting $-2$ for x and 7 for y in both of the equations.
$\begin{align}
& 2\left( -2 \right)+3\left( 7 \right)=17 \\
& -4+21=17 \\
& 17=17
\end{align}$
This implies that $\left( -2,7 \right)$ satisfies the first equation.
$\begin{align}
& 3\left( -2 \right)+5\left( 7 \right)=29 \\
& -6+35=29 \\
& 29=29
\end{align}$
This implies that $\left( -2,7 \right)$ satisfies the second equation.
This concludes that the system formed has a solution as $\left( -2,7 \right)$.
Thus, many solutions are possible and one of them is written in the explanation.
