Solve for x
x=\frac{3y}{7}
Solve for y
y=\frac{7x}{3}
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7x=3y
Multiply both sides of the equation by 63, the least common multiple of 9,21.
\frac{7x}{7}=\frac{3y}{7}
Divide both sides by 7.
x=\frac{3y}{7}
Dividing by 7 undoes the multiplication by 7.
7x=3y
Multiply both sides of the equation by 63, the least common multiple of 9,21.
3y=7x
Swap sides so that all variable terms are on the left hand side.
\frac{3y}{3}=\frac{7x}{3}
Divide both sides by 3.
y=\frac{7x}{3}
Dividing by 3 undoes the multiplication by 3.
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Limits
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