Solve x=3-y/2

$$x = \frac { 3 - y } { 2 }$$

Solve for y

$$y=3-2x$$

Steps for Solving Linear Equation

Divide each term of 3-y by 2 to get \frac{3}{2}-\frac{1}{2}y.

$$x=\frac{3}{2}-\frac{1}{2}y$$

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

$$\frac{3}{2}-\frac{1}{2}y=x$$

Subtract \frac{3}{2} from both sides.

$$-\frac{1}{2}y=x-\frac{3}{2}$$

Multiply both sides by -2.

$$\frac{-\frac{1}{2}y}{-\frac{1}{2}}=\frac{x-\frac{3}{2}}{-\frac{1}{2}}$$

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

$$y=\frac{x-\frac{3}{2}}{-\frac{1}{2}}$$

Divide x-\frac{3}{2} by -\frac{1}{2} by multiplying x-\frac{3}{2} by the reciprocal of -\frac{1}{2}.

$$y=3-2x$$

Solve for x

$$x=\frac{3-y}{2}$$

Solution Steps

Divide each term of 3-y by 2 to get \frac{3}{2}-\frac{1}{2}y.

$$x=\frac{3}{2}-\frac{1}{2}y$$