Solve y=3/2x+2

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

Solve for x

$$x=\frac{2\left(y-2\right)}{3}$$

Steps for Solving Linear Equation

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

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

Subtract 2 from both sides.

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

Divide both sides of the equation by \frac{3}{2}, which is the same as multiplying both sides by the reciprocal of the fraction.

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

Dividing by \frac{3}{2} undoes the multiplication by \frac{3}{2}.

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

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

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

Solve for y

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