Solve y-3=-3(x-4)

$$y - 3 = - 3 ( x - 4 )$$

Solve for x

$$x=-\frac{y}{3}+5$$

Steps for Solving Linear Equation

Use the distributive property to multiply -3 by x-4.

$$y-3=-3x+12$$

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

$$-3x+12=y-3$$

Subtract 12 from both sides.

$$-3x=y-3-12$$

Subtract 12 from -3 to get -15.

$$-3x=y-15$$

Divide both sides by -3.

$$\frac{-3x}{-3}=\frac{y-15}{-3}$$

Dividing by -3 undoes the multiplication by -3.

$$x=\frac{y-15}{-3}$$

Divide y-15 by -3.

$$x=-\frac{y}{3}+5$$

Solve for y

$$y=15-3x$$

Solution Steps

Use the distributive property to multiply -3 by x-4.

$$y-3=-3x+12$$

Add 3 to both sides.

$$y=-3x+12+3$$

Add 12 and 3 to get 15.

$$y=-3x+15$$