Answer
The solution set while solving the equations by substitution method is \[y=-2\].
Work Step by Step
Given equations are\[3x-2y=5\ \text{and }y=\text{3}x\text{-3}\]and, \[x=\frac{1}{3}\].
Solve \[y\]using either of the two of the two linear equations by substituting the value of \[x=\frac{1}{3}\]as:
\[\begin{align}
& 3\left( \frac{1}{3} \right)-2y=5 \\
& 1-2y=5 \\
& 2y=-4 \\
& y=-2
\end{align}\]
Also, using second equation, value of\[y\]is:
\[\begin{align}
& y=\text{3}x\text{-3} \\
& y=3\left( \frac{1}{3} \right)-3 \\
& y=1-3 \\
& y=-2
\end{align}\]
Hence, the solution set while solving the equations by substitution method is \[y=-2\].
