Solve for x
x=\frac{\sqrt{3}y}{3}
Solve for y
y=\sqrt{3}x
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\sqrt{3}x=y
Add y to both sides. Anything plus zero gives itself.
\frac{\sqrt{3}x}{\sqrt{3}}=\frac{y}{\sqrt{3}}
Divide both sides by \sqrt{3}.
x=\frac{y}{\sqrt{3}}
Dividing by \sqrt{3} undoes the multiplication by \sqrt{3}.
x=\frac{\sqrt{3}y}{3}
Divide y by \sqrt{3}.
-y=-\sqrt{3}x
Subtract \sqrt{3}x from both sides. Anything subtracted from zero gives its negation.
y=\sqrt{3}x
Cancel out -1 on both sides.
Examples
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Linear equation
y = 3x + 4
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Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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