Solve y-9=3(x+2)

$$y - 9 = 3 ( x + 2 )$$

Solve for x

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

Steps for Solving Linear Equation

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

$$y-9=3x+6$$

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

$$3x+6=y-9$$

Subtract 6 from both sides.

$$3x=y-9-6$$

Subtract 6 from -9 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

$$y=3\left(x+5\right)$$

Solution Steps

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

$$y-9=3x+6$$

Add 9 to both sides.

$$y=3x+6+9$$

Add 6 and 9 to get 15.

$$y=3x+15$$