Solve for w (complex solution)
\left\{\begin{matrix}w=\frac{v}{x}+2\text{, }&x\neq 0\\w\in \mathrm{C}\text{, }&x=0\text{ and }v=0\end{matrix}\right.
Solve for v
v=x\left(w-2\right)
Solve for w
\left\{\begin{matrix}w=\frac{v}{x}+2\text{, }&x\neq 0\\w\in \mathrm{R}\text{, }&x=0\text{ and }v=0\end{matrix}\right.
Graph
Share
Copied to clipboard
3x+wx=5x+v
Swap sides so that all variable terms are on the left hand side.
wx=5x+v-3x
Subtract 3x from both sides.
wx=2x+v
Combine 5x and -3x to get 2x.
xw=2x+v
The equation is in standard form.
\frac{xw}{x}=\frac{2x+v}{x}
Divide both sides by x.
w=\frac{2x+v}{x}
Dividing by x undoes the multiplication by x.
w=\frac{v}{x}+2
Divide 2x+v by x.
v=3x+wx-5x
Subtract 5x from both sides.
v=-2x+wx
Combine 3x and -5x to get -2x.
3x+wx=5x+v
Swap sides so that all variable terms are on the left hand side.
wx=5x+v-3x
Subtract 3x from both sides.
wx=2x+v
Combine 5x and -3x to get 2x.
xw=2x+v
The equation is in standard form.
\frac{xw}{x}=\frac{2x+v}{x}
Divide both sides by x.
w=\frac{2x+v}{x}
Dividing by x undoes the multiplication by x.
w=\frac{v}{x}+2
Divide 2x+v by x.
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}