Solve for x
x=\frac{2\left(y-10\right)}{5}
Solve for y
y=\frac{5\left(x+4\right)}{2}
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-5x=20-2y
Subtract 2y from both sides.
\frac{-5x}{-5}=\frac{20-2y}{-5}
Divide both sides by -5.
x=\frac{20-2y}{-5}
Dividing by -5 undoes the multiplication by -5.
x=\frac{2y}{5}-4
Divide 20-2y by -5.
2y=20+5x
Add 5x to both sides.
2y=5x+20
The equation is in standard form.
\frac{2y}{2}=\frac{5x+20}{2}
Divide both sides by 2.
y=\frac{5x+20}{2}
Dividing by 2 undoes the multiplication by 2.
y=\frac{5x}{2}+10
Divide 20+5x by 2.
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