Solve y=2x-3/4

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

Solve for x

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

Steps for Solving Linear Equation

Divide each term of 2x-3 by 4 to get \frac{1}{2}x-\frac{3}{4}.

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

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

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

Add \frac{3}{4} to 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

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

Solution Steps

Divide each term of 2x-3 by 4 to get \frac{1}{2}x-\frac{3}{4}.

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