Solve -2+x/y=-2

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

Solve for x

$$x=2-2y$$

$$y\neq 0$$

Solution Steps

Multiply both sides of the equation by y.

$$-2+x=-2y$$

Add 2 to both sides.

$$x=-2y+2$$

Solve for y

$$y=-\frac{x}{2}+1$$

$$x\neq 2$$

Steps for Solving Linear Equation

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

$$-2+x=-2y$$

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

$$-2y=-2+x$$

The equation is in standard form.

$$-2y=x-2$$

Divide both sides by -2.

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

Dividing by -2 undoes the multiplication by -2.

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

Divide -2+x by -2.

$$y=-\frac{x}{2}+1$$

Variable y cannot be equal to 0.

$$y=-\frac{x}{2}+1\text{, }y\neq 0$$