Solve for x
x=\frac{3y}{4}
y\neq 0
Solve for y
y=\frac{4x}{3}
x\neq 0
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4x=3y
Multiply both sides of the equation by y.
\frac{4x}{4}=\frac{3y}{4}
Divide both sides by 4.
x=\frac{3y}{4}
Dividing by 4 undoes the multiplication by 4.
4x=3y
Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by y.
3y=4x
Swap sides so that all variable terms are on the left hand side.
\frac{3y}{3}=\frac{4x}{3}
Divide both sides by 3.
y=\frac{4x}{3}
Dividing by 3 undoes the multiplication by 3.
y=\frac{4x}{3}\text{, }y\neq 0
Variable y cannot be equal to 0.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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