Solve {l}{776-48n=335-75n}{o=8{(97-6n)}}{text{Solvefor}ptext{where}}{p=o}

$$\left. \begin{array} { l } { 776 - 48 n = 335 - 75 n }\\ { o = 8 {(97 - 6 n)} }\\ { \text{Solve for } p \text{ where} } \\ { p = o } \end{array} \right.$$

Solve for n, o, p

$$p=1560$$

Solution Steps

Consider the first equation. Add 75n to both sides.

$$776-48n+75n=335$$

Combine -48n and 75n to get 27n.

$$776+27n=335$$

Subtract 776 from both sides.

$$27n=335-776$$

Subtract 776 from 335 to get -441.

$$27n=-441$$

Divide both sides by 27.

$$n=\frac{-441}{27}$$

Reduce the fraction \frac{-441}{27} to lowest terms by extracting and canceling out 9.

$$n=-\frac{49}{3}$$

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

$$o=8\left(97-6\left(-\frac{49}{3}\right)\right)$$

Multiply -6 and -\frac{49}{3} to get 98.

$$o=8\left(97+98\right)$$

Add 97 and 98 to get 195.

$$o=8\times 195$$

Multiply 8 and 195 to get 1560.

$$o=1560$$

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

$$p=1560$$

The system is now solved.

$$n=-\frac{49}{3} o=1560 p=1560$$