Solve for x
x=\frac{3y}{2}
y\neq 0
Solve for y
y=\frac{2x}{3}
x\neq 0
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6x=y\times 9
Multiply both sides of the equation by 6y, the least common multiple of y,6.
6x=9y
The equation is in standard form.
\frac{6x}{6}=\frac{9y}{6}
Divide both sides by 6.
x=\frac{9y}{6}
Dividing by 6 undoes the multiplication by 6.
x=\frac{3y}{2}
Divide 9y by 6.
6x=y\times 9
Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 6y, the least common multiple of y,6.
y\times 9=6x
Swap sides so that all variable terms are on the left hand side.
9y=6x
The equation is in standard form.
\frac{9y}{9}=\frac{6x}{9}
Divide both sides by 9.
y=\frac{6x}{9}
Dividing by 9 undoes the multiplication by 9.
y=\frac{2x}{3}
Divide 6x by 9.
y=\frac{2x}{3}\text{, }y\neq 0
Variable y cannot be equal to 0.
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