( ( x + y ) \cdot \frac { w } { y } = 25
Solve for w
w=\frac{25y}{x+y}
x\neq -y\text{ and }y\neq 0
Solve for x
x=-\frac{y\left(w-25\right)}{w}
w\neq 0\text{ and }y\neq 0
Graph
Share
Copied to clipboard
\left(x+y\right)w=25y
Multiply both sides of the equation by y.
\frac{\left(x+y\right)w}{x+y}=\frac{25y}{x+y}
Divide both sides by x+y.
w=\frac{25y}{x+y}
Dividing by x+y undoes the multiplication by x+y.
\left(x+y\right)w=25y
Multiply both sides of the equation by y.
xw+yw=25y
Use the distributive property to multiply x+y by w.
xw=25y-yw
Subtract yw from both sides.
wx=25y-wy
The equation is in standard form.
\frac{wx}{w}=\frac{y\left(25-w\right)}{w}
Divide both sides by w.
x=\frac{y\left(25-w\right)}{w}
Dividing by w undoes the multiplication by w.
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}