Solve y=2x-y-13

$$y = 2 x - y - 13$$

Solve for x

$$x = \frac{13}{2} = 6\frac{1}{2} = 6.5$$

Steps for Solving Linear Equation

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

$$2x-y-13=y$$

Add y to both sides.

$$2x-13=y+y$$

Combine y and y to get 2y.

$$2x-13=2y$$

Add 13 to both sides.

$$2x=2y+13$$

Divide both sides by 2.

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

Dividing by 2 undoes the multiplication by 2.

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

Divide 2y+13 by 2.

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

Solve for y

$$y = -\frac{13}{2} = -6\frac{1}{2} = -6.5$$

Steps for Solving Linear Equation

Add y to both sides.

$$y+y=2x-13$$

Combine y and y to get 2y.

$$2y=2x-13$$

Divide both sides by 2.

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

Dividing by 2 undoes the multiplication by 2.

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

Divide 2x-13 by 2.

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