Solve for x
\left\{\begin{matrix}x=\frac{y+z}{z}\text{, }&z\neq 0\\x\in \mathrm{R}\text{, }&y=0\text{ and }z=0\end{matrix}\right.
Solve for y
y=z\left(x-1\right)
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y=zx-z
Use the distributive property to multiply z by x-1.
zx-z=y
Swap sides so that all variable terms are on the left hand side.
zx=y+z
Add z to both sides.
\frac{zx}{z}=\frac{y+z}{z}
Divide both sides by z.
x=\frac{y+z}{z}
Dividing by z undoes the multiplication by z.
y=zx-z
Use the distributive property to multiply z by x-1.
Examples
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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
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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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