Solve 2y/x=-2

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

Solve for x

$$x=-y$$

$$y\neq 0$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$2y=-2x$$

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

$$-2x=2y$$

Divide both sides by -2.

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

Dividing by -2 undoes the multiplication by -2.

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

Divide 2y by -2.

$$x=-y$$

Variable x cannot be equal to 0.

$$x=-y\text{, }x\neq 0$$

Solve for y

$$y=-x$$

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by x.

$$2y=-2x$$

Divide both sides by 2.

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

Dividing by 2 undoes the multiplication by 2.

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

Divide -2x by 2.

$$y=-x$$