Solve {l}{2x-3=y}{2-y=2}

$$\left\{ \begin{array} { l } { 2 x - 3 = y } \\ { 2 - y = 2 } \end{array} \right.$$

Solve for x, y

$$x = \frac{3}{2} = 1\frac{1}{2} = 1.5$$

$$y=0$$

Solution Steps

Consider the second equation. Subtract 2 from both sides.

$$-y=2-2$$

Subtract 2 from 2 to get 0.

$$-y=0$$

Divide both sides by -1. Zero divided by any non-zero number gives zero.

$$y=0$$

Consider the first equation. Insert the known values of variables into the equation.

$$2x-3=0$$

Add 3 to both sides. Anything plus zero gives itself.

$$2x=3$$

Divide both sides by 2.

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

The system is now solved.

$$x=\frac{3}{2} y=0$$