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