Solve for x
\left\{\begin{matrix}x=-\frac{3y-2}{4z}\text{, }&z\neq 0\\x\in \mathrm{R}\text{, }&y=\frac{2}{3}\text{ and }z=0\end{matrix}\right.
Solve for y
y=\frac{2-4xz}{3}
Share
Copied to clipboard
8xz+6y=4
Swap sides so that all variable terms are on the left hand side.
8xz=4-6y
Subtract 6y from both sides.
8zx=4-6y
The equation is in standard form.
\frac{8zx}{8z}=\frac{4-6y}{8z}
Divide both sides by 8z.
x=\frac{4-6y}{8z}
Dividing by 8z undoes the multiplication by 8z.
x=\frac{2-3y}{4z}
Divide 4-6y by 8z.
8xz+6y=4
Swap sides so that all variable terms are on the left hand side.
6y=4-8xz
Subtract 8xz from both sides.
\frac{6y}{6}=\frac{4-8xz}{6}
Divide both sides by 6.
y=\frac{4-8xz}{6}
Dividing by 6 undoes the multiplication by 6.
y=\frac{2-4xz}{3}
Divide 4-8xz by 6.
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}