Solve y-3=3(x-5)

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

Solve for x

$$x=\frac{y+12}{3}$$

Steps for Solving Linear Equation

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

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

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

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

Add 15 to both sides.

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

Add -3 and 15 to get 12.

$$3x=y+12$$

Divide both sides by 3.

$$\frac{3x}{3}=\frac{y+12}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$x=\frac{y+12}{3}$$

Divide y+12 by 3.

$$x=\frac{y}{3}+4$$

Solve for y

$$y=3\left(x-4\right)$$

Solution Steps

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

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

Add 3 to both sides.

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

Add -15 and 3 to get -12.

$$y=3x-12$$