Solve y+2=-3(x-2)

$$y+2=-3(x-2)$$

Solve for x

$$x=\frac{4-y}{3}$$

Steps for Solving Linear Equation

Use the distributive property to multiply -3 by x-2.

$$y+2=-3x+6$$

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

$$-3x+6=y+2$$

Subtract 6 from both sides.

$$-3x=y+2-6$$

Subtract 6 from 2 to get -4.

$$-3x=y-4$$

Divide both sides by -3.

$$\frac{-3x}{-3}=\frac{y-4}{-3}$$

Dividing by -3 undoes the multiplication by -3.

$$x=\frac{y-4}{-3}$$

Divide y-4 by -3.

$$x=\frac{4-y}{3}$$

Solve for y

$$y=4-3x$$

Solution Steps

Use the distributive property to multiply -3 by x-2.

$$y+2=-3x+6$$

Subtract 2 from both sides.

$$y=-3x+6-2$$

Subtract 2 from 6 to get 4.

$$y=-3x+4$$