Solve y-5=-3(x-2)

$$y - 5 = - 3 ( x - 2 )$$

Solve for x

$$x=\frac{11-y}{3}$$

Steps for Solving Linear Equation

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

$$y-5=-3x+6$$

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

$$-3x+6=y-5$$

Subtract 6 from both sides.

$$-3x=y-5-6$$

Subtract 6 from -5 to get -11.

$$-3x=y-11$$

Divide both sides by -3.

$$\frac{-3x}{-3}=\frac{y-11}{-3}$$

Dividing by -3 undoes the multiplication by -3.

$$x=\frac{y-11}{-3}$$

Divide y-11 by -3.

$$x=\frac{11-y}{3}$$

Solve for y

$$y=11-3x$$

Solution Steps

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

$$y-5=-3x+6$$

Add 5 to both sides.

$$y=-3x+6+5$$

Add 6 and 5 to get 11.

$$y=-3x+11$$