Solve for x
x=\frac{1}{3}+\frac{4}{3y}
y\neq 0
Solve for y
y=\frac{4}{3x-1}
x\neq \frac{1}{3}
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4-3xy=-y
Swap sides so that all variable terms are on the left hand side.
-3xy=-y-4
Subtract 4 from both sides.
\left(-3y\right)x=-y-4
The equation is in standard form.
\frac{\left(-3y\right)x}{-3y}=\frac{-y-4}{-3y}
Divide both sides by -3y.
x=\frac{-y-4}{-3y}
Dividing by -3y undoes the multiplication by -3y.
x=\frac{1}{3}+\frac{4}{3y}
Divide -y-4 by -3y.
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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