Solve for x
x=\frac{3\left(y+6\right)}{14}
Solve for y
y=\frac{14x}{3}-6
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14x=3y+18
Swap sides so that all variable terms are on the left hand side.
\frac{14x}{14}=\frac{3y+18}{14}
Divide both sides by 14.
x=\frac{3y+18}{14}
Dividing by 14 undoes the multiplication by 14.
x=\frac{3y}{14}+\frac{9}{7}
Divide 18+3y by 14.
3y=14x-18
Subtract 18 from both sides.
\frac{3y}{3}=\frac{14x-18}{3}
Divide both sides by 3.
y=\frac{14x-18}{3}
Dividing by 3 undoes the multiplication by 3.
y=\frac{14x}{3}-6
Divide 14x-18 by 3.
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