Solve {l}{0.25x-4=2}{y=x}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { 0.25 x - 4 = 2 }\\ { y = x }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for x, y, z

$$z=24$$

Solution Steps

Consider the first equation. Add 4 to both sides.

$$0.25x=2+4$$

Add 2 and 4 to get 6.

$$0.25x=6$$

Divide both sides by 0.25.

$$x=\frac{6}{0.25}$$

Expand \frac{6}{0.25} by multiplying both numerator and the denominator by 100.

$$x=\frac{600}{25}$$

Divide 600 by 25 to get 24.

$$x=24$$

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

$$y=24$$

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

$$z=24$$

The system is now solved.

$$x=24 y=24 z=24$$