Solve y+2=-5(x-2)=

$$y + 2 = - 5 ( x - 2 ) =$$

Solve for x

$$x=\frac{8-y}{5}$$

Steps for Solving Linear Equation

Use the distributive property to multiply -5 by x-2.

$$y+2=-5x+10$$

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

$$-5x+10=y+2$$

Subtract 10 from both sides.

$$-5x=y+2-10$$

Subtract 10 from 2 to get -8.

$$-5x=y-8$$

Divide both sides by -5.

$$\frac{-5x}{-5}=\frac{y-8}{-5}$$

Dividing by -5 undoes the multiplication by -5.

$$x=\frac{y-8}{-5}$$

Divide y-8 by -5.

$$x=\frac{8-y}{5}$$

Solve for y

$$y=8-5x$$

Solution Steps

Use the distributive property to multiply -5 by x-2.

$$y+2=-5x+10$$

Subtract 2 from both sides.

$$y=-5x+10-2$$

Subtract 2 from 10 to get 8.

$$y=-5x+8$$