Solve {3/2x-5/2y=-2

$$\{ \frac { 3 } { 2 } x - \frac { 5 } { 2 } y = - 2$$

Solve for x

$$x=\frac{5y-4}{3}$$

Steps for Solving Linear Equation

Add \frac{5}{2}y to both sides.

$$\frac{3}{2}x=-2+\frac{5}{2}y$$

The equation is in standard form.

$$\frac{3}{2}x=\frac{5y}{2}-2$$

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

$$\frac{\frac{3}{2}x}{\frac{3}{2}}=\frac{\frac{5y}{2}-2}{\frac{3}{2}}$$

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

$$x=\frac{\frac{5y}{2}-2}{\frac{3}{2}}$$

Divide -2+\frac{5y}{2} by \frac{3}{2} by multiplying -2+\frac{5y}{2} by the reciprocal of \frac{3}{2}.

$$x=\frac{5y-4}{3}$$