Solve for x
x=\frac{y}{10}+\frac{1}{4}
Solve for y
y=10x-\frac{5}{2}
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20x-2y=5
Multiply both sides of the equation by 20, the least common multiple of 10,4.
20x=5+2y
Add 2y to both sides.
20x=2y+5
The equation is in standard form.
\frac{20x}{20}=\frac{2y+5}{20}
Divide both sides by 20.
x=\frac{2y+5}{20}
Dividing by 20 undoes the multiplication by 20.
x=\frac{y}{10}+\frac{1}{4}
Divide 5+2y by 20.
20x-2y=5
Multiply both sides of the equation by 20, the least common multiple of 10,4.
-2y=5-20x
Subtract 20x from both sides.
\frac{-2y}{-2}=\frac{5-20x}{-2}
Divide both sides by -2.
y=\frac{5-20x}{-2}
Dividing by -2 undoes the multiplication by -2.
y=10x-\frac{5}{2}
Divide 5-20x by -2.
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