Solve for \(x\) in \(x+7y=56\).
Solve for \(x\).
\[x+7y=56\]
Subtract \(7y\) from both sides.
\[x=56-7y\]
\[x=56-7y\]
Substitute \(x=56-7y\) into \(7x+5y=32\).
Start with the original equation.
\[7x+5y=32\]
Let \(x=56-7y\).
\[7(56-7y)+5y=32\]
Simplify.
\[392-44y=32\]
\[392-44y=32\]
Solve for \(y\) in \(392-44y=32\).
Solve for \(y\).
\[392-44y=32\]
Subtract \(392\) from both sides.
\[-44y=32-392\]
Simplify \(32-392\) to \(-360\).
\[-44y=-360\]
Divide both sides by \(-44\).
\[y=\frac{-360}{-44}\]
Two negatives make a positive.
\[y=\frac{360}{44}\]
Simplify \(\frac{360}{44}\) to \(\frac{90}{11}\).
\[y=\frac{90}{11}\]
\[y=\frac{90}{11}\]
Substitute \(y=\frac{90}{11}\) into \(x=56-7y\).
Start with the original equation.
\[x=56-7y\]
Let \(y=\frac{90}{11}\).
\[x=56-7\times \frac{90}{11}\]
Simplify.
\[x=-\frac{14}{11}\]
\[x=-\frac{14}{11}\]
Therefore,
\[\begin{aligned}&x=-\frac{14}{11}\\&y=\frac{90}{11}\end{aligned}\]
x=-14/11;y=90/11
