Solve 1/wy=-y/5

$$\frac { 1 } { w y } = - \frac { y } { 5 }$$

Solve for w

$$w=-\frac{5}{y^{2}}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Variable w cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 5wy, the least common multiple of wy,5.

$$5=-wyy$$

Multiply y and y to get y^{2}.

$$5=-wy^{2}$$

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

$$-wy^{2}=5$$

Divide both sides by -1.

$$wy^{2}=-5$$

The equation is in standard form.

$$y^{2}w=-5$$

Divide both sides by y^{2}.

$$\frac{y^{2}w}{y^{2}}=-\frac{5}{y^{2}}$$

Dividing by y^{2} undoes the multiplication by y^{2}.

$$w=-\frac{5}{y^{2}}$$

Variable w cannot be equal to 0.

$$w=-\frac{5}{y^{2}}\text{, }w\neq 0$$

Solve for y (complex solution)

$$y=-\sqrt{5}iw^{-\frac{1}{2}}$$

$$y=\sqrt{5}iw^{-\frac{1}{2}}\text{, }w\neq 0$$

Solve for y

$$y=\sqrt{-\frac{5}{w}}$$

$$y=-\sqrt{-\frac{5}{w}}\text{, }w<0$$