Solve x-3/2y=-2

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

Solve for y

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

Steps for Solving Linear Equation

Subtract x from both sides.

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

The equation is in standard form.

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

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

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

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

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

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

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

Solve for x

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

Solution Steps

Add \frac{3}{2}y to both sides.

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