Solve 3x^2y=1

$$3 x ^ { 2 } y = 1$$

Solve for y

$$y=\frac{1}{3x^{2}}$$

$$x\neq 0$$

Steps for Solving Linear Equation

The equation is in standard form.

$$3x^{2}y=1$$

Divide both sides by 3x^{2}.

$$\frac{3x^{2}y}{3x^{2}}=\frac{1}{3x^{2}}$$

Dividing by 3x^{2} undoes the multiplication by 3x^{2}.

$$y=\frac{1}{3x^{2}}$$

Solve for x (complex solution)

$$x=-\frac{\sqrt{3}y^{-\frac{1}{2}}}{3}$$

$$x=\frac{\sqrt{3}y^{-\frac{1}{2}}}{3}\text{, }y\neq 0$$

Solve for x

$$x=\frac{\sqrt{\frac{3}{y}}}{3}$$

$$x=-\frac{\sqrt{\frac{3}{y}}}{3}\text{, }y>0$$