Solve {l}{x=y/z}{y=400}{x=360}

$$\left. \begin{array} { l } { x = \frac { y } { z } } \\ { y = 400 } \\ { x = 360 } \end{array} \right.$$

Solve for x, y, z

$$x=360$$

$$y=400$$

$$z = \frac{10}{9} = 1\frac{1}{9} \approx 1.111111111$$

Solution Steps

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

$$360=\frac{400}{z}$$

Variable z cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by z.

$$360z=400$$

Divide both sides by 360.

$$z=\frac{400}{360}$$

Reduce the fraction \frac{400}{360} to lowest terms by extracting and canceling out 40.

$$z=\frac{10}{9}$$

The system is now solved.

$$x=360 y=400 z=\frac{10}{9}$$