Solve for x
x=\frac{y}{6}+\frac{1}{18}
Solve for y
y=6x-\frac{1}{3}
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18x=3y+1
Swap sides so that all variable terms are on the left hand side.
\frac{18x}{18}=\frac{3y+1}{18}
Divide both sides by 18.
x=\frac{3y+1}{18}
Dividing by 18 undoes the multiplication by 18.
x=\frac{y}{6}+\frac{1}{18}
Divide 3y+1 by 18.
3y=18x-1
Subtract 1 from both sides.
\frac{3y}{3}=\frac{18x-1}{3}
Divide both sides by 3.
y=\frac{18x-1}{3}
Dividing by 3 undoes the multiplication by 3.
y=6x-\frac{1}{3}
Divide 18x-1 by 3.
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