Solve for x
x=\frac{4}{4-y}
y\neq 4
Solve for y
y=4-\frac{4}{x}
x\neq 0
Graph
Share
Copied to clipboard
\left(4-y\right)x=4
Combine all terms containing x.
\frac{\left(4-y\right)x}{4-y}=\frac{4}{4-y}
Divide both sides by 4-y.
x=\frac{4}{4-y}
Dividing by 4-y undoes the multiplication by 4-y.
-xy=4-4x
Subtract 4x from both sides.
\left(-x\right)y=4-4x
The equation is in standard form.
\frac{\left(-x\right)y}{-x}=\frac{4-4x}{-x}
Divide both sides by -x.
y=\frac{4-4x}{-x}
Dividing by -x undoes the multiplication by -x.
y=4-\frac{4}{x}
Divide 4-4x by -x.
Examples
Quadratic equation
{ 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}