Solve {l}{x=5/6}{y=9/6}{z=x+y}{text{Solvefor}atext{where}}{a=z}

$$\left. \begin{array} { l } { x = \frac{5}{6} }\\ { y = \frac{9}{6} }\\ { z = x + y }\\ { \text{Solve for } a \text{ where} } \\ { a = z } \end{array} \right.$$

Solve for x, y, z, a

$$a = \frac{7}{3} = 2\frac{1}{3} \approx 2.333333333$$

Solution Steps

Consider the second equation. Reduce the fraction \frac{9}{6} to lowest terms by extracting and canceling out 3.

$$y=\frac{3}{2}$$

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

$$z=\frac{5}{6}+\frac{3}{2}$$

Add \frac{5}{6} and \frac{3}{2} to get \frac{7}{3}.

$$z=\frac{7}{3}$$

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

$$a=\frac{7}{3}$$

The system is now solved.

$$x=\frac{5}{6} y=\frac{3}{2} z=\frac{7}{3} a=\frac{7}{3}$$