Solve {l}{3x-4=2}{x-2y=3}

$$\left. \begin{array} { l } { 3 x - 4 = 2 } \\ { x - 2 y = 3 } \end{array} \right.$$

Solve for x, y

$$x=2$$

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

Solution Steps

Consider the first equation. Add 4 to both sides.

$$3x=2+4$$

Add 2 and 4 to get 6.

$$3x=6$$

Divide both sides by 3.

$$x=\frac{6}{3}$$

Divide 6 by 3 to get 2.

$$x=2$$

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

$$2-2y=3$$

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.

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