Solve y-2=-3(x-7)

$$y - 2 = - 3 ( x - 7 )$$

Solve for x

$$x=\frac{23-y}{3}$$

Steps for Solving Linear Equation

Use the distributive property to multiply -3 by x-7.

$$y-2=-3x+21$$

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

$$-3x+21=y-2$$

Subtract 21 from both sides.

$$-3x=y-2-21$$

Subtract 21 from -2 to get -23.

$$-3x=y-23$$

Divide both sides by -3.

$$\frac{-3x}{-3}=\frac{y-23}{-3}$$

Dividing by -3 undoes the multiplication by -3.

$$x=\frac{y-23}{-3}$$

Divide y-23 by -3.

$$x=\frac{23-y}{3}$$

Solve for y

$$y=23-3x$$

Solution Steps

Use the distributive property to multiply -3 by x-7.

$$y-2=-3x+21$$

Add 2 to both sides.

$$y=-3x+21+2$$

Add 21 and 2 to get 23.

$$y=-3x+23$$