Solve {l}{n/3+5=13^2}{o=n}{text{Solvefor}ptext{where}}{p=o}

$$\left. \begin{array} { l } { \frac{n}{3} + 5 = 13 ^ {2} }\\ { o = n }\\ { \text{Solve for } p \text{ where} } \\ { p = o } \end{array} \right.$$

Solve for n, o, p

$$p=492$$

Solution Steps

Consider the first equation. Multiply both sides of the equation by 3.

$$n+15=3\times 13^{2}$$

Calculate 13 to the power of 2 and get 169.

$$n+15=3\times 169$$

Multiply 3 and 169 to get 507.

$$n+15=507$$

Subtract 15 from both sides.

$$n=507-15$$

Subtract 15 from 507 to get 492.

$$n=492$$

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

$$o=492$$

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

$$p=492$$

The system is now solved.

$$n=492 o=492 p=492$$