Solve for y
\left\{\begin{matrix}y=\frac{x}{z}-1\text{, }&z\neq 0\\y\in \mathrm{R}\text{, }&x=0\text{ and }z=0\end{matrix}\right.
Solve for x
x=z\left(y+1\right)
Share
Copied to clipboard
-zy=z-x
Subtract x from both sides.
\left(-z\right)y=z-x
The equation is in standard form.
\frac{\left(-z\right)y}{-z}=\frac{z-x}{-z}
Divide both sides by -z.
y=\frac{z-x}{-z}
Dividing by -z undoes the multiplication by -z.
y=\frac{x}{z}-1
Divide z-x by -z.
x=z+zy
Add zy to both sides.
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}