Solve y/9x=w/v

$$\frac { y } { 9 x } = \frac { w } { v }$$

Solve for v

$$\left\{\begin{matrix}v=\frac{9wx}{y}\text{, }&w\neq 0\text{ and }x\neq 0\text{ and }y\neq 0\\v\neq 0\text{, }&y=0\text{ and }w=0\text{ and }x\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable v cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 9vx, the least common multiple of 9x,v.

$$vy=9xw$$

Reorder the terms.

$$vy=9wx$$

The equation is in standard form.

$$yv=9wx$$

Divide both sides by y.

$$\frac{yv}{y}=\frac{9wx}{y}$$

Dividing by y undoes the multiplication by y.

$$v=\frac{9wx}{y}$$

Variable v cannot be equal to 0.

$$v=\frac{9wx}{y}\text{, }v\neq 0$$

Solve for w

$$w=\frac{vy}{9x}$$

$$x\neq 0\text{ and }v\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 9vx, the least common multiple of 9x,v.

$$vy=9xw$$

Swap sides so that all variable terms are on the left hand side.

$$9xw=vy$$

Divide both sides by 9x.

$$\frac{9xw}{9x}=\frac{vy}{9x}$$

Dividing by 9x undoes the multiplication by 9x.

$$w=\frac{vy}{9x}$$