Solve for x
x=\frac{z-400y}{500}
Solve for y
y=\frac{z-500x}{400}
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500x+400y=z
Swap sides so that all variable terms are on the left hand side.
500x=z-400y
Subtract 400y from both sides.
\frac{500x}{500}=\frac{z-400y}{500}
Divide both sides by 500.
x=\frac{z-400y}{500}
Dividing by 500 undoes the multiplication by 500.
x=\frac{z}{500}-\frac{4y}{5}
Divide z-400y by 500.
500x+400y=z
Swap sides so that all variable terms are on the left hand side.
400y=z-500x
Subtract 500x from both sides.
\frac{400y}{400}=\frac{z-500x}{400}
Divide both sides by 400.
y=\frac{z-500x}{400}
Dividing by 400 undoes the multiplication by 400.
y=\frac{z}{400}-\frac{5x}{4}
Divide z-500x by 400.
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