Solve {l}{x/3/8=3/4/0.6}{y=x}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { x / \frac{3}{8} = \frac{3}{4} / 0.6 }\\ { y = x }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for x, y, z

$$z=0.46875$$

Solution Steps

Consider the first equation. Express \frac{\frac{3}{4}}{0.6} as a single fraction.

$$\frac{x}{\frac{3}{8}}=\frac{3}{4\times 0.6}$$

Multiply 4 and 0.6 to get 2.4.

$$\frac{x}{\frac{3}{8}}=\frac{3}{2.4}$$

Expand \frac{3}{2.4} by multiplying both numerator and the denominator by 10.

$$\frac{x}{\frac{3}{8}}=\frac{30}{24}$$

Reduce the fraction \frac{30}{24} to lowest terms by extracting and canceling out 6.

$$\frac{x}{\frac{3}{8}}=\frac{5}{4}$$

Multiply both sides by \frac{3}{8}.

$$x=\frac{5}{4}\times \frac{3}{8}$$

Multiply \frac{5}{4} and \frac{3}{8} to get \frac{15}{32}.

$$x=\frac{15}{32}$$

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

$$y=\frac{15}{32}$$

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

$$z=\frac{15}{32}$$

The system is now solved.

$$x=\frac{15}{32} y=\frac{15}{32} z=\frac{15}{32}$$