Solve {l}{m=5}{n=m*{(frac{2*{(3)}+2}{3})}}{o=n}{p=o}{text{Solvefor}qtext{where}}{q=p}

$$\left. \begin{array} { l } { m = 5 }\\ { n = m \cdot {(\frac{2 \cdot {(3)} + 2}{3})} }\\ { o = n }\\ { p = o }\\ { \text{Solve for } q \text{ where} } \\ { q = p } \end{array} \right.$$

Solve for m, n, o, p, q

$$q = \frac{40}{3} = 13\frac{1}{3} \approx 13.333333333$$

Solution Steps

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

$$n=5\times \frac{2\times 3+2}{3}$$

Multiply 2 and 3 to get 6.

$$n=5\times \frac{6+2}{3}$$

Add 6 and 2 to get 8.

$$n=5\times \frac{8}{3}$$

Multiply 5 and \frac{8}{3} to get \frac{40}{3}.

$$n=\frac{40}{3}$$

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

$$o=\frac{40}{3}$$

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

$$p=\frac{40}{3}$$

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

$$q=\frac{40}{3}$$

The system is now solved.

$$m=5 n=\frac{40}{3} o=\frac{40}{3} p=\frac{40}{3} q=\frac{40}{3}$$