Solve y-2=3(x-5)

$$y - 2 = 3 ( x - 5 )$$

Solve for x

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

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by x-5.

$$y-2=3x-15$$

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

$$3x-15=y-2$$

Add 15 to both sides.

$$3x=y-2+15$$

Add -2 and 15 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-5.

$$y-2=3x-15$$

Add 2 to both sides.

$$y=3x-15+2$$

Add -15 and 2 to get -13.

$$y=3x-13$$