Solve for x
x=\frac{5y}{2}+\frac{1}{20}
Solve for y
y=\frac{2x}{5}-\frac{1}{50}
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2x=\frac{1}{10}+5y
Swap sides so that all variable terms are on the left hand side.
2x=5y+\frac{1}{10}
The equation is in standard form.
\frac{2x}{2}=\frac{5y+\frac{1}{10}}{2}
Divide both sides by 2.
x=\frac{5y+\frac{1}{10}}{2}
Dividing by 2 undoes the multiplication by 2.
x=\frac{5y}{2}+\frac{1}{20}
Divide \frac{1}{10}+5y by 2.
5y=2x-\frac{1}{10}
Subtract \frac{1}{10} from both sides.
\frac{5y}{5}=\frac{2x-\frac{1}{10}}{5}
Divide both sides by 5.
y=\frac{2x-\frac{1}{10}}{5}
Dividing by 5 undoes the multiplication by 5.
y=\frac{2x}{5}-\frac{1}{50}
Divide 2x-\frac{1}{10} by 5.
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