Solve {l}{6-2x=3}{2+2y=3}

$$\left\{ \begin{array} { l } { 6 - 2 x = 3 } \\ { 2 + 2 y = 3 } \end{array} \right.$$

Solve for x, y

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

$$y=\frac{1}{2}=0.5$$

Solution Steps

Consider the first equation. Subtract 6 from both sides.

$$-2x=3-6$$

Subtract 6 from 3 to get -3.

$$-2x=-3$$

Divide both sides by -2.

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

Fraction \frac{-3}{-2} can be simplified to \frac{3}{2} by removing the negative sign from both the numerator and the denominator.

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

Consider the second equation. Subtract 2 from both sides.

$$2y=3-2$$

Subtract 2 from 3 to get 1.

$$2y=1$$

Divide both sides by 2.

$$y=\frac{1}{2}$$

The system is now solved.

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