Solve 4x+y+2=0

$$4 x + y + 2 = 0$$

Solve for x

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

Steps for Solving Linear Equation

Subtract y from both sides. Anything subtracted from zero gives its negation.

$$4x+2=-y$$

Subtract 2 from both sides.

$$4x=-y-2$$

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.

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

Solve for y

$$y=-4x-2$$

Solution Steps

Subtract 4x from both sides. Anything subtracted from zero gives its negation.

$$y+2=-4x$$

Subtract 2 from both sides.

$$y=-4x-2$$