Solve y+2=3(x-7)

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

Solve for x

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

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.

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

Add 21 to both sides.

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

Add 2 and 21 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.

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

Solve for y

$$y=3x-23$$

Solution Steps

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

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

Subtract 2 from both sides.

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

Subtract 2 from -21 to get -23.

$$y=3x-23$$