Solve for x
x=3y
Solve for y
y=\frac{x}{3}
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\frac{1}{3}x=y
Swap sides so that all variable terms are on the left hand side.
\frac{\frac{1}{3}x}{\frac{1}{3}}=\frac{y}{\frac{1}{3}}
Multiply both sides by 3.
x=\frac{y}{\frac{1}{3}}
Dividing by \frac{1}{3} undoes the multiplication by \frac{1}{3}.
x=3y
Divide y by \frac{1}{3} by multiplying y by the reciprocal of \frac{1}{3}.
Examples
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Linear equation
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Matrix
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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
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Limits
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