Solve y=x-13/2

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

Solve for x

$$x=2y+13$$

Steps for Solving Linear Equation

Divide each term of x-13 by 2 to get \frac{1}{2}x-\frac{13}{2}.

$$y=\frac{1}{2}x-\frac{13}{2}$$

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

$$\frac{1}{2}x-\frac{13}{2}=y$$

Add \frac{13}{2} to both sides.

$$\frac{1}{2}x=y+\frac{13}{2}$$

Multiply both sides by 2.

$$\frac{\frac{1}{2}x}{\frac{1}{2}}=\frac{y+\frac{13}{2}}{\frac{1}{2}}$$

Dividing by \frac{1}{2} undoes the multiplication by \frac{1}{2}.

$$x=\frac{y+\frac{13}{2}}{\frac{1}{2}}$$

Divide y+\frac{13}{2} by \frac{1}{2} by multiplying y+\frac{13}{2} by the reciprocal of \frac{1}{2}.

$$x=2y+13$$

Solve for y

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

Solution Steps

Divide each term of x-13 by 2 to get \frac{1}{2}x-\frac{13}{2}.

$$y=\frac{1}{2}x-\frac{13}{2}$$