Solve for x
x=\sqrt{3}\left(y-\sqrt{3}-7\right)
Solve for y
y=\frac{\sqrt{3}x}{3}+\sqrt{3}+7
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3y-\sqrt{3}x-3\sqrt{3}=21
Add 21 to both sides. Anything plus zero gives itself.
3y-\sqrt{3}x=21+3\sqrt{3}
Add 3\sqrt{3} to both sides.
-\sqrt{3}x=21+3\sqrt{3}-3y
Subtract 3y from both sides.
\left(-\sqrt{3}\right)x=-3y+3\sqrt{3}+21
The equation is in standard form.
\frac{\left(-\sqrt{3}\right)x}{-\sqrt{3}}=\frac{-3y+3\sqrt{3}+21}{-\sqrt{3}}
Divide both sides by -\sqrt{3}.
x=\frac{-3y+3\sqrt{3}+21}{-\sqrt{3}}
Dividing by -\sqrt{3} undoes the multiplication by -\sqrt{3}.
x=-\sqrt{3}\left(-y+\sqrt{3}+7\right)
Divide 21+3\sqrt{3}-3y by -\sqrt{3}.
3y-\sqrt{3}x-3\sqrt{3}=21
Add 21 to both sides. Anything plus zero gives itself.
3y-\sqrt{3}x=21+3\sqrt{3}
Add 3\sqrt{3} to both sides.
3y=21+3\sqrt{3}+\sqrt{3}x
Add \sqrt{3}x to both sides.
3y=\sqrt{3}x+3\sqrt{3}+21
The equation is in standard form.
\frac{3y}{3}=\frac{\sqrt{3}x+3\sqrt{3}+21}{3}
Divide both sides by 3.
y=\frac{\sqrt{3}x+3\sqrt{3}+21}{3}
Dividing by 3 undoes the multiplication by 3.
y=\frac{\sqrt{3}x}{3}+\sqrt{3}+7
Divide 21+3\sqrt{3}+\sqrt{3}x by 3.
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