Solve y-1=3(x+2)

$$y - 1 = 3 ( x + 2 )$$

Solve for x

$$x=\frac{y-7}{3}$$

Steps for Solving Linear Equation

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

$$y-1=3x+6$$

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

$$3x+6=y-1$$

Subtract 6 from both sides.

$$3x=y-1-6$$

Subtract 6 from -1 to get -7.

$$3x=y-7$$

Divide both sides by 3.

$$\frac{3x}{3}=\frac{y-7}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$x=\frac{y-7}{3}$$

Solve for y

$$y=3x+7$$

Solution Steps

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

$$y-1=3x+6$$

Add 1 to both sides.

$$y=3x+6+1$$

Add 6 and 1 to get 7.

$$y=3x+7$$