Solve for x
\left\{\begin{matrix}x=\frac{21z}{17600y}\text{, }&y\neq 0\\x\in \mathrm{R}\text{, }&z=0\text{ and }y=0\end{matrix}\right.
Solve for y
\left\{\begin{matrix}y=\frac{21z}{17600x}\text{, }&x\neq 0\\y\in \mathrm{R}\text{, }&z=0\text{ and }x=0\end{matrix}\right.
Share
Copied to clipboard
880000xy=1050z
Multiply 550 and 1600 to get 880000.
880000yx=1050z
The equation is in standard form.
\frac{880000yx}{880000y}=\frac{1050z}{880000y}
Divide both sides by 880000y.
x=\frac{1050z}{880000y}
Dividing by 880000y undoes the multiplication by 880000y.
x=\frac{21z}{17600y}
Divide 1050z by 880000y.
880000xy=1050z
Multiply 550 and 1600 to get 880000.
\frac{880000xy}{880000x}=\frac{1050z}{880000x}
Divide both sides by 880000x.
y=\frac{1050z}{880000x}
Dividing by 880000x undoes the multiplication by 880000x.
y=\frac{21z}{17600x}
Divide 1050z by 880000x.
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}