Solve {l}{2n/5=10}{o=2n-1}{text{Solvefor}ptext{where}}{p=o}

$$\left. \begin{array} { l } { \frac{2 n}{5} = 10 }\\ { o = 2 n - 1 }\\ { \text{Solve for } p \text{ where} } \\ { p = o } \end{array} \right.$$

Solve for n, o, p

$$p=49$$

Solution Steps

Consider the first equation. Multiply both sides by 5.

$$2n=10\times 5$$

Multiply 10 and 5 to get 50.

$$2n=50$$

Divide both sides by 2.

$$n=\frac{50}{2}$$

Divide 50 by 2 to get 25.

$$n=25$$

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

$$o=2\times 25-1$$

Multiply 2 and 25 to get 50.

$$o=50-1$$

Subtract 1 from 50 to get 49.

$$o=49$$

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

$$p=49$$

The system is now solved.

$$n=25 o=49 p=49$$