Solve {l}{9/14=x/18}{y=x}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { \frac{9}{14} = \frac{x}{18} }\\ { y = x }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for x, y, z

$$z = \frac{81}{7} = 11\frac{4}{7} \approx 11.571428571$$

Solution Steps

Consider the first equation. Multiply both sides by 18.

$$\frac{9}{14}\times 18=x$$

Multiply \frac{9}{14} and 18 to get \frac{81}{7}.

$$\frac{81}{7}=x$$

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

$$x=\frac{81}{7}$$

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

$$y=\frac{81}{7}$$

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

$$z=\frac{81}{7}$$

The system is now solved.

$$x=\frac{81}{7} y=\frac{81}{7} z=\frac{81}{7}$$