Solve y+9=-5(x-10)

$$y + 9 = - 5 ( x - 10 )$$

Solve for x

$$x=\frac{41-y}{5}$$

Steps for Solving Linear Equation

Use the distributive property to multiply -5 by x-10.

$$y+9=-5x+50$$

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

$$-5x+50=y+9$$

Subtract 50 from both sides.

$$-5x=y+9-50$$

Subtract 50 from 9 to get -41.

$$-5x=y-41$$

Divide both sides by -5.

$$\frac{-5x}{-5}=\frac{y-41}{-5}$$

Dividing by -5 undoes the multiplication by -5.

$$x=\frac{y-41}{-5}$$

Divide y-41 by -5.

$$x=\frac{41-y}{5}$$

Solve for y

$$y=41-5x$$

Solution Steps

Use the distributive property to multiply -5 by x-10.

$$y+9=-5x+50$$

Subtract 9 from both sides.

$$y=-5x+50-9$$

Subtract 9 from 50 to get 41.

$$y=-5x+41$$