Solve y=x+1/2+3

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

Solve for x

$$x=2y-7$$

Steps for Solving Linear Equation

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

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

Add \frac{1}{2} and 3 to get \frac{7}{2}.

$$y=\frac{1}{2}x+\frac{7}{2}$$

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

$$\frac{1}{2}x+\frac{7}{2}=y$$

Subtract \frac{7}{2} from both sides.

$$\frac{1}{2}x=y-\frac{7}{2}$$

Multiply both sides by 2.

$$\frac{\frac{1}{2}x}{\frac{1}{2}}=\frac{y-\frac{7}{2}}{\frac{1}{2}}$$

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

$$x=\frac{y-\frac{7}{2}}{\frac{1}{2}}$$

Divide y-\frac{7}{2} by \frac{1}{2} by multiplying y-\frac{7}{2} by the reciprocal of \frac{1}{2}.

$$x=2y-7$$

Solve for y

$$y=\frac{x+7}{2}$$

Solution Steps

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

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

Add \frac{1}{2} and 3 to get \frac{7}{2}.

$$y=\frac{1}{2}x+\frac{7}{2}$$