Solve y-2/x=-4

$$\frac { y - 2 } { x } = - 4$$

Solve for x

$$x=-\frac{y}{4}+\frac{1}{2}$$

$$y\neq 2$$

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.

$$y-2=-4x$$

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

$$-4x=y-2$$

Divide both sides by -4.

$$\frac{-4x}{-4}=\frac{y-2}{-4}$$

Dividing by -4 undoes the multiplication by -4.

$$x=\frac{y-2}{-4}$$

Divide y-2 by -4.

$$x=-\frac{y}{4}+\frac{1}{2}$$

Variable x cannot be equal to 0.

$$x=-\frac{y}{4}+\frac{1}{2}\text{, }x\neq 0$$

Solve for y

$$y=2-4x$$

$$x\neq 0$$

Solution Steps

Multiply both sides of the equation by x.

$$y-2=-4x$$

Add 2 to both sides.

$$y=-4x+2$$