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