Solve y=3/2x-10

$$y = 3 / 2 x - 10$$

Solve for x

$$x=\frac{2\left(y+10\right)}{3}$$

Steps for Solving Linear Equation

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

$$\frac{3}{2}x-10=y$$

Add 10 to both sides.

$$\frac{3}{2}x=y+10$$

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

$$\frac{\frac{3}{2}x}{\frac{3}{2}}=\frac{y+10}{\frac{3}{2}}$$

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

$$x=\frac{y+10}{\frac{3}{2}}$$

Divide y+10 by \frac{3}{2} by multiplying y+10 by the reciprocal of \frac{3}{2}.

$$x=\frac{2y+20}{3}$$

Solve for y

$$y=\frac{3x}{2}-10$$