Solve {l}{2x=8/15}{y=x-0}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { 2 x = \frac{8}{15} }\\ { y = x - 0 }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for x, y, z

$$z=\frac{4}{15}\approx 0.266666667$$

Solution Steps

Consider the first equation. Divide both sides by 2.

$$x=\frac{\frac{8}{15}}{2}$$

Express \frac{\frac{8}{15}}{2} as a single fraction.

$$x=\frac{8}{15\times 2}$$

Multiply 15 and 2 to get 30.

$$x=\frac{8}{30}$$

Reduce the fraction \frac{8}{30} to lowest terms by extracting and canceling out 2.

$$x=\frac{4}{15}$$

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

$$y=\frac{4}{15}-0$$

Subtract 0 from \frac{4}{15} to get \frac{4}{15}.

$$y=\frac{4}{15}$$

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

$$z=\frac{4}{15}$$

The system is now solved.

$$x=\frac{4}{15} y=\frac{4}{15} z=\frac{4}{15}$$