Solve y=1/2x+3/4

$$y = \frac { 1 } { 2 } x + \frac { 3 } { 4 }$$

Solve for x

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

Steps for Solving Linear Equation

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

$$\frac{1}{2}x+\frac{3}{4}=y$$

Subtract \frac{3}{4} from both sides.

$$\frac{1}{2}x=y-\frac{3}{4}$$

Multiply both sides by 2.

$$\frac{\frac{1}{2}x}{\frac{1}{2}}=\frac{y-\frac{3}{4}}{\frac{1}{2}}$$

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

$$x=\frac{y-\frac{3}{4}}{\frac{1}{2}}$$

Divide y-\frac{3}{4} by \frac{1}{2} by multiplying y-\frac{3}{4} by the reciprocal of \frac{1}{2}.

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

Solve for y

$$y=\frac{x}{2}+\frac{3}{4}$$