Solve x=frac{sqrt{5y}}{15}

$$x= \frac{ \sqrt{ 5y } }{ 15 }$$

Solve for y

$$y=45x^{2}$$

$$x\geq 0$$

Steps for Solving Radical Equations

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

$$\frac{\sqrt{5y}}{15}=x$$

Multiply both sides by 15.

$$\frac{\frac{1}{15}\sqrt{5y}}{\frac{1}{15}}=\frac{x}{\frac{1}{15}}$$

Dividing by \frac{1}{15} undoes the multiplication by \frac{1}{15}.

$$\sqrt{5y}=\frac{x}{\frac{1}{15}}$$

Divide x by \frac{1}{15} by multiplying x by the reciprocal of \frac{1}{15}.

$$\sqrt{5y}=15x$$

Square both sides of the equation.

$$5y=225x^{2}$$

Divide both sides by 5.

$$\frac{5y}{5}=\frac{225x^{2}}{5}$$

Dividing by 5 undoes the multiplication by 5.

$$y=\frac{225x^{2}}{5}$$

Divide 225x^{2} by 5.

$$y=45x^{2}$$

Solve for y (complex solution)

$$y=45x^{2}$$

$$arg(x)<\pi \text{ or }x=0$$

Solve for x

$$x=\frac{\sqrt{5y}}{15}$$

$$y\geq 0$$