Solve {l}{3y=15}{z=5-{(5/3)}}{a=z}{b=a}{text{Solvefor}ctext{where}}{c=b}

$$\left. \begin{array} { l } { 3 y = 15 }\\ { z = 5 - {(\frac{5}{3})} }\\ { a = z }\\ { b = a }\\ { \text{Solve for } c \text{ where} } \\ { c = b } \end{array} \right.$$

Solve for y, z, a, b, c

$$c = \frac{10}{3} = 3\frac{1}{3} \approx 3.333333333$$

Solution Steps

Consider the first equation. Divide both sides by 3.

$$y=\frac{15}{3}$$

Divide 15 by 3 to get 5.

$$y=5$$

Consider the second equation. Subtract \frac{5}{3} from 5 to get \frac{10}{3}.

$$z=\frac{10}{3}$$

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

$$a=\frac{10}{3}$$

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

$$b=\frac{10}{3}$$

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

$$c=\frac{10}{3}$$

The system is now solved.

$$y=5 z=\frac{10}{3} a=\frac{10}{3} b=\frac{10}{3} c=\frac{10}{3}$$