Solve {l}{2x+4-x=4}{y=2x+4-x}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { 2 x + 4 - x = 4 }\\ { y = 2 x + 4 - x }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for x, y, z

$$z=4$$

Solution Steps

Consider the first equation. Combine 2x and -x to get x.

$$x+4=4$$

Subtract 4 from both sides.

$$x=4-4$$

Subtract 4 from 4 to get 0.

$$x=0$$

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

$$y=2\times 0+4-0$$

Do the multiplications.

$$y=0+4+0$$

Add 0 and 4 to get 4.

$$y=4+0$$

Add 4 and 0 to get 4.

$$y=4$$

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

$$z=4$$

The system is now solved.

$$x=0 y=4 z=4$$