Solve for x
x=-\frac{3y}{5}+7
Solve for y
y=\frac{35-5x}{3}
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5x-35=-3y
Swap sides so that all variable terms are on the left hand side.
5x=-3y+35
Add 35 to both sides.
5x=35-3y
The equation is in standard form.
\frac{5x}{5}=\frac{35-3y}{5}
Divide both sides by 5.
x=\frac{35-3y}{5}
Dividing by 5 undoes the multiplication by 5.
x=-\frac{3y}{5}+7
Divide -3y+35 by 5.
-3y=5x-35
The equation is in standard form.
\frac{-3y}{-3}=\frac{5x-35}{-3}
Divide both sides by -3.
y=\frac{5x-35}{-3}
Dividing by -3 undoes the multiplication by -3.
y=\frac{35-5x}{3}
Divide -35+5x by -3.
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