Solve {l}{55/7*x/20=2}{y=75}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { \frac{55}{7} \cdot \frac{x}{20} = 2 }\\ { y = 75 }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for x, y, z

$$z=75$$

Solution Steps

Consider the first equation. Multiply both sides by \frac{7}{55}, the reciprocal of \frac{55}{7}.

$$\frac{x}{20}=2\times \frac{7}{55}$$

Multiply 2 and \frac{7}{55} to get \frac{14}{55}.

$$\frac{x}{20}=\frac{14}{55}$$

Multiply both sides by 20.

$$x=\frac{14}{55}\times 20$$

Multiply \frac{14}{55} and 20 to get \frac{56}{11}.

$$x=\frac{56}{11}$$

The system is now solved.

$$x=\frac{56}{11} y=75 z=75$$