Solve {l}{x+4=10}{x-y=4}

$$\left\{ \begin{array} { l } { x + 4 = 10 } \\ { x - y = 4 } \end{array} \right.$$

Solve for x, y

$$x=6$$

$$y=2$$

Solution Steps

Consider the first equation. Subtract 4 from both sides.

$$x=10-4$$

Subtract 4 from 10 to get 6.

$$x=6$$

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

$$6-y=4$$

Subtract 6 from both sides.

$$-y=4-6$$

Subtract 6 from 4 to get -2.

$$-y=-2$$

Divide both sides by -1.

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

Fraction \frac{-2}{-1} can be simplified to 2 by removing the negative sign from both the numerator and the denominator.

$$y=2$$

The system is now solved.

$$x=6 y=2$$