Solve for x
x=\frac{8\left(y+10\right)}{5}
Solve for y
y=\frac{5\left(x-16\right)}{8}
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5x=80+8y
Add 8y to both sides.
5x=8y+80
The equation is in standard form.
\frac{5x}{5}=\frac{8y+80}{5}
Divide both sides by 5.
x=\frac{8y+80}{5}
Dividing by 5 undoes the multiplication by 5.
x=\frac{8y}{5}+16
Divide 80+8y by 5.
-8y=80-5x
Subtract 5x from both sides.
\frac{-8y}{-8}=\frac{80-5x}{-8}
Divide both sides by -8.
y=\frac{80-5x}{-8}
Dividing by -8 undoes the multiplication by -8.
y=\frac{5x}{8}-10
Divide 80-5x by -8.
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