Solve {c}{x+3/2=3/2}{y+2/2=5/2}

$$\left. \begin{array} { c } { \frac { x + 3 } { 2 } = \frac { 3 } { 2 } } \\ { \frac { y + 2 } { 2 } = \frac { 5 } { 2 } } \end{array} \right.$$

Solve for x, y

$$x=0$$

$$y=3$$

Solution Steps

Consider the first equation. Multiply both sides by 2.

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

Multiply \frac{3}{2} and 2 to get 3.

$$x+3=3$$

Subtract 3 from both sides.

$$x=3-3$$

Subtract 3 from 3 to get 0.

$$x=0$$

Consider the second equation. Multiply both sides by 2.

$$y+2=\frac{5}{2}\times 2$$

Multiply \frac{5}{2} and 2 to get 5.

$$y+2=5$$

Subtract 2 from both sides.

$$y=5-2$$

Subtract 2 from 5 to get 3.

$$y=3$$

The system is now solved.

$$x=0 y=3$$