Solve x+2/4-y=6

$$\frac { x + 2 } { 4 } - y = 6$$

Solve for x

$$x=4y+22$$

Solution Steps

Multiply both sides of the equation by 4.

$$x+2-4y=24$$

Subtract 2 from both sides.

$$x-4y=24-2$$

Subtract 2 from 24 to get 22.

$$x-4y=22$$

Add 4y to both sides.

$$x=22+4y$$

Solve for y

$$y=\frac{x-22}{4}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4.

$$x+2-4y=24$$

Subtract x from both sides.

$$2-4y=24-x$$

Subtract 2 from both sides.

$$-4y=24-x-2$$

Subtract 2 from 24 to get 22.

$$-4y=22-x$$

Divide both sides by -4.

$$\frac{-4y}{-4}=\frac{22-x}{-4}$$

Dividing by -4 undoes the multiplication by -4.

$$y=\frac{22-x}{-4}$$

Divide 22-x by -4.

$$y=\frac{x}{4}-\frac{11}{2}$$