Solve for x
x=6y
y\neq 0
Solve for y
y=\frac{x}{6}
x\neq 0
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3x=y\times 18
Multiply both sides of the equation by 3y, the least common multiple of y,3.
3x=18y
The equation is in standard form.
\frac{3x}{3}=\frac{18y}{3}
Divide both sides by 3.
x=\frac{18y}{3}
Dividing by 3 undoes the multiplication by 3.
x=6y
Divide 18y by 3.
3x=y\times 18
Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 3y, the least common multiple of y,3.
y\times 18=3x
Swap sides so that all variable terms are on the left hand side.
18y=3x
The equation is in standard form.
\frac{18y}{18}=\frac{3x}{18}
Divide both sides by 18.
y=\frac{3x}{18}
Dividing by 18 undoes the multiplication by 18.
y=\frac{x}{6}
Divide 3x by 18.
y=\frac{x}{6}\text{, }y\neq 0
Variable y cannot be equal to 0.
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