Solve {l}{9*4x=100}{y=x}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { 9 \cdot 4 x = 100 }\\ { y = x }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for x, y, z

$$z = \frac{25}{9} = 2\frac{7}{9} \approx 2.777777778$$

Solution Steps

Consider the first equation. Multiply 9 and 4 to get 36.

$$36x=100$$

Divide both sides by 36.

$$x=\frac{100}{36}$$

Reduce the fraction \frac{100}{36} to lowest terms by extracting and canceling out 4.

$$x=\frac{25}{9}$$

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

$$y=\frac{25}{9}$$

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

$$z=\frac{25}{9}$$

The system is now solved.

$$x=\frac{25}{9} y=\frac{25}{9} z=\frac{25}{9}$$