Solve for x
x=\frac{5\left(y-7\right)}{7}
Solve for y
y=\frac{7\left(x+5\right)}{5}
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-7x=35-5y
Subtract 5y from both sides.
\frac{-7x}{-7}=\frac{35-5y}{-7}
Divide both sides by -7.
x=\frac{35-5y}{-7}
Dividing by -7 undoes the multiplication by -7.
x=\frac{5y}{7}-5
Divide 35-5y by -7.
5y=35+7x
Add 7x to both sides.
5y=7x+35
The equation is in standard form.
\frac{5y}{5}=\frac{7x+35}{5}
Divide both sides by 5.
y=\frac{7x+35}{5}
Dividing by 5 undoes the multiplication by 5.
y=\frac{7x}{5}+7
Divide 35+7x by 5.
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