Solve y=13(x-2)

$$y = 13 ( x - 2 )$$

Solve for x

$$x=\frac{y+26}{13}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 13 by x-2.

$$y=13x-26$$

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

$$13x-26=y$$

Add 26 to both sides.

$$13x=y+26$$

Divide both sides by 13.

$$\frac{13x}{13}=\frac{y+26}{13}$$

Dividing by 13 undoes the multiplication by 13.

$$x=\frac{y+26}{13}$$

Divide y+26 by 13.

$$x=\frac{y}{13}+2$$

Solve for y

$$y=13\left(x-2\right)$$

Solution Steps

Use the distributive property to multiply 13 by x-2.

$$y=13x-26$$