Solve y=30x/150y

$$y = \frac { 30 x } { 150 y }$$

Solve for x

$$x=5y^{2}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 150y.

$$y\times 150y=30x$$

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

$$y^{2}\times 150=30x$$

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

$$30x=y^{2}\times 150$$

The equation is in standard form.

$$30x=150y^{2}$$

Divide both sides by 30.

$$\frac{30x}{30}=\frac{150y^{2}}{30}$$

Dividing by 30 undoes the multiplication by 30.

$$x=\frac{150y^{2}}{30}$$

Divide 150y^{2} by 30.

$$x=5y^{2}$$

Solve for y (complex solution)

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

$$y=\frac{\sqrt{5x}}{5}\text{, }x\neq 0$$

Solve for y

$$y=\frac{\sqrt{5x}}{5}$$

$$y=-\frac{\sqrt{5x}}{5}\text{, }x>0$$