Solve for x
x=\frac{y}{15}
y\neq 0
Solve for y
y=15x
x\neq 0
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\frac{3x}{2y}=\frac{2}{20}
Divide both sides by 20.
\frac{3x}{2y}=\frac{1}{10}
Reduce the fraction \frac{2}{20} to lowest terms by extracting and canceling out 2.
5\times 3x=y
Multiply both sides of the equation by 10y, the least common multiple of 2y,10.
15x=y
Multiply 5 and 3 to get 15.
\frac{15x}{15}=\frac{y}{15}
Divide both sides by 15.
x=\frac{y}{15}
Dividing by 15 undoes the multiplication by 15.
\frac{3x}{2y}=\frac{2}{20}
Divide both sides by 20.
\frac{3x}{2y}=\frac{1}{10}
Reduce the fraction \frac{2}{20} to lowest terms by extracting and canceling out 2.
5\times 3x=y
Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 10y, the least common multiple of 2y,10.
15x=y
Multiply 5 and 3 to get 15.
y=15x
Swap sides so that all variable terms are on the left hand side.
y=15x\text{, }y\neq 0
Variable y cannot be equal to 0.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}