Solve for x
x=\frac{4\left(y-25\right)}{5}
Solve for y
y=\frac{5\left(x+20\right)}{4}
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-5x=100-4y
Subtract 4y from both sides.
\frac{-5x}{-5}=\frac{100-4y}{-5}
Divide both sides by -5.
x=\frac{100-4y}{-5}
Dividing by -5 undoes the multiplication by -5.
x=\frac{4y}{5}-20
Divide 100-4y by -5.
4y=100+5x
Add 5x to both sides.
4y=5x+100
The equation is in standard form.
\frac{4y}{4}=\frac{5x+100}{4}
Divide both sides by 4.
y=\frac{5x+100}{4}
Dividing by 4 undoes the multiplication by 4.
y=\frac{5x}{4}+25
Divide 100+5x by 4.
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