Solve y=-3/2x-1

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

Solve for x

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

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

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