Solve Y=3/2X-1

$$Y = \frac { 3 } { 2 } X - 1$$

Solve for X

$$X=\frac{2\left(Y+1\right)}{3}$$

Steps for Solving Linear Equation

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

$$\frac{3}{2}X-1=Y$$

Add 1 to both sides.

$$\frac{3}{2}X=Y+1$$

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

$$\frac{\frac{3}{2}X}{\frac{3}{2}}=\frac{Y+1}{\frac{3}{2}}$$

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

$$X=\frac{Y+1}{\frac{3}{2}}$$

Divide Y+1 by \frac{3}{2} by multiplying Y+1 by the reciprocal of \frac{3}{2}.

$$X=\frac{2Y+2}{3}$$

Solve for Y

$$Y=\frac{3X}{2}-1$$