Solve {l}{6/14/5=x/5/7}{y=3}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { 6 / \frac{14}{5} = x / \frac{5}{7} }\\ { y = 3 }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for x, y, z

$$z=3$$

Solution Steps

Consider the first equation. Divide 6 by \frac{14}{5} by multiplying 6 by the reciprocal of \frac{14}{5}.

$$6\times \frac{5}{14}=\frac{x}{\frac{5}{7}}$$

Multiply 6 and \frac{5}{14} to get \frac{15}{7}.

$$\frac{15}{7}=\frac{x}{\frac{5}{7}}$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{x}{\frac{5}{7}}=\frac{15}{7}$$

Multiply both sides by \frac{5}{7}.

$$x=\frac{15}{7}\times \frac{5}{7}$$

Multiply \frac{15}{7} and \frac{5}{7} to get \frac{75}{49}.

$$x=\frac{75}{49}$$

The system is now solved.

$$x=\frac{75}{49} y=3 z=3$$