Solve for x
x=\frac{4y-1}{5}
Solve for y
y=\frac{5x+1}{4}
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\frac{5}{4}x+\frac{1}{4}=y
Swap sides so that all variable terms are on the left hand side.
\frac{5}{4}x=y-\frac{1}{4}
Subtract \frac{1}{4} from both sides.
\frac{\frac{5}{4}x}{\frac{5}{4}}=\frac{y-\frac{1}{4}}{\frac{5}{4}}
Divide both sides of the equation by \frac{5}{4}, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{y-\frac{1}{4}}{\frac{5}{4}}
Dividing by \frac{5}{4} undoes the multiplication by \frac{5}{4}.
x=\frac{4y-1}{5}
Divide y-\frac{1}{4} by \frac{5}{4} by multiplying y-\frac{1}{4} by the reciprocal of \frac{5}{4}.
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