Solve {l}{x-x{(10/24)}=67734}{y=77}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { x - x {(\frac{10}{24})} = 67734 }\\ { y = 77 }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for x, y, z

$$z=77$$

Solution Steps

Consider the first equation. Reduce the fraction \frac{10}{24} to lowest terms by extracting and canceling out 2.

$$x-x\times \frac{5}{12}=67734$$

Combine x and -x\times \frac{5}{12} to get \frac{7}{12}x.

$$\frac{7}{12}x=67734$$

Multiply both sides by \frac{12}{7}, the reciprocal of \frac{7}{12}.

$$x=67734\times \frac{12}{7}$$

Multiply 67734 and \frac{12}{7} to get \frac{812808}{7}.

$$x=\frac{812808}{7}$$

The system is now solved.

$$x=\frac{812808}{7} y=77 z=77$$