Solve {l}{500/200=x}{y=x}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { \frac{500}{200} = x }\\ { y = x }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for x, y, z

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

Solution Steps

Consider the first equation. Reduce the fraction \frac{500}{200} to lowest terms by extracting and canceling out 100.

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

Swap sides so that all variable terms are on the left hand side.

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

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

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

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

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

The system is now solved.

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