Solve 3xy^2=1-10

$$3 x y ^ { 2 } = 1 - 10$$

Solve for x

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

$$y\neq 0$$

Steps for Solving Linear Equation

Subtract 10 from 1 to get -9.

$$3xy^{2}=-9$$

The equation is in standard form.

$$3y^{2}x=-9$$

Divide both sides by 3y^{2}.

$$\frac{3y^{2}x}{3y^{2}}=-\frac{9}{3y^{2}}$$

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

$$x=-\frac{9}{3y^{2}}$$

Divide -9 by 3y^{2}.

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

Solve for y (complex solution)

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

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

Solve for y

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

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