Solve for x
x=\frac{yz+8}{4}
Solve for y
\left\{\begin{matrix}y=\frac{4\left(x-2\right)}{z}\text{, }&z\neq 0\\y\in \mathrm{R}\text{, }&x=2\text{ and }z=0\end{matrix}\right.
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4x-yz=8
Multiply both sides of the equation by 2.
4x=8+yz
Add yz to both sides.
4x=yz+8
The equation is in standard form.
\frac{4x}{4}=\frac{yz+8}{4}
Divide both sides by 4.
x=\frac{yz+8}{4}
Dividing by 4 undoes the multiplication by 4.
x=\frac{yz}{4}+2
Divide 8+yz by 4.
4x-yz=8
Multiply both sides of the equation by 2.
-yz=8-4x
Subtract 4x from both sides.
\left(-z\right)y=8-4x
The equation is in standard form.
\frac{\left(-z\right)y}{-z}=\frac{8-4x}{-z}
Divide both sides by -z.
y=\frac{8-4x}{-z}
Dividing by -z undoes the multiplication by -z.
y=-\frac{4\left(2-x\right)}{z}
Divide 8-4x by -z.
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}