Solve y-4=3(x+3)

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

Solve for x

$$x=\frac{y-13}{3}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by x+3.

$$y-4=3x+9$$

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

$$3x+9=y-4$$

Subtract 9 from both sides.

$$3x=y-4-9$$

Subtract 9 from -4 to get -13.

$$3x=y-13$$

Divide both sides by 3.

$$\frac{3x}{3}=\frac{y-13}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$x=\frac{y-13}{3}$$

Solve for y

$$y=3x+13$$

Solution Steps

Use the distributive property to multiply 3 by x+3.

$$y-4=3x+9$$

Add 4 to both sides.

$$y=3x+9+4$$

Add 9 and 4 to get 13.

$$y=3x+13$$