Solve {l}{2x+3=8}{2x-y=4}

$$\left. \begin{array} { l } { 2 x + 3 = 8 } \\ { 2 x - y = 4 } \end{array} \right.$$

Solve for x, y

$$x = \frac{5}{2} = 2\frac{1}{2} = 2.5$$

$$y=1$$

Solution Steps

Consider the first equation. Subtract 3 from both sides.

$$2x=8-3$$

Subtract 3 from 8 to get 5.

$$2x=5$$

Divide both sides by 2.

$$x=\frac{5}{2}$$

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

$$2\times \frac{5}{2}-y=4$$

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

$$5-y=4$$

Subtract 5 from both sides.

$$-y=4-5$$

Subtract 5 from 4 to get -1.

$$-y=-1$$

Divide both sides by -1.

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

Divide -1 by -1 to get 1.

$$y=1$$

The system is now solved.

$$x=\frac{5}{2} y=1$$