Solve for a
a=\frac{2\sqrt{3}b}{3}
Solve for b
b=\frac{\sqrt{3}a}{2}
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\sqrt{3}a=2b
Swap sides so that all variable terms are on the left hand side.
\frac{\sqrt{3}a}{\sqrt{3}}=\frac{2b}{\sqrt{3}}
Divide both sides by \sqrt{3}.
a=\frac{2b}{\sqrt{3}}
Dividing by \sqrt{3} undoes the multiplication by \sqrt{3}.
a=\frac{2\sqrt{3}b}{3}
Divide 2b by \sqrt{3}.
2b=\sqrt{3}a
The equation is in standard form.
\frac{2b}{2}=\frac{\sqrt{3}a}{2}
Divide both sides by 2.
b=\frac{\sqrt{3}a}{2}
Dividing by 2 undoes the multiplication by 2.
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