Answer
the ordered pair \[\left( 2,3 \right)\] is a solution of the system of equations.
Work Step by Step
Multiply equation second with \[-1\]and add it with first equation.Thus,
\[\begin{align}
& \left( x-5y=-13 \right)\times -1 \\
& -x+5y=13 \\
\end{align}\]
Now, add first and above equation to eliminate\[x\]as:
\[\begin{align}
& \left( -x+5y \right)+\left( x+3y \right)=13+11 \\
& 5y+3y=24 \\
& 8y=24 \\
& y=3
\end{align}\]
Now, substitute the value of\[y=3\]in the first equation to get the value of \[x\]as:
\[\begin{align}
& x+3\left( 3 \right)=11 \\
& x+9=11 \\
& x=2
\end{align}\]
Hence, the ordered pair \[\left( 2,3 \right)\] is a solution of the system of equations.
