Solve y-9=-8left(x-5right)

$$y-9 = -8 \left( x-5 \right)$$

Solve for x

$$x=\frac{49-y}{8}$$

Steps for Solving Linear Equation

Use the distributive property to multiply -8 by x-5.

$$y-9=-8x+40$$

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

$$-8x+40=y-9$$

Subtract 40 from both sides.

$$-8x=y-9-40$$

Subtract 40 from -9 to get -49.

$$-8x=y-49$$

Divide both sides by -8.

$$\frac{-8x}{-8}=\frac{y-49}{-8}$$

Dividing by -8 undoes the multiplication by -8.

$$x=\frac{y-49}{-8}$$

Divide y-49 by -8.

$$x=\frac{49-y}{8}$$

Solve for y

$$y=49-8x$$

Solution Steps

Use the distributive property to multiply -8 by x-5.

$$y-9=-8x+40$$

Add 9 to both sides.

$$y=-8x+40+9$$

Add 40 and 9 to get 49.

$$y=-8x+49$$