Solve {l}{S=77.135{(7-863)}-1/2{(9.81)}(7.863)^2}{a=S}{text{Solvefor}btext{where}}{b=a}

$$\left. \begin{array} { l } { S = 77.135 {(7 - 863)} - \frac{1}{2} {(9.81)} {(7.863)} ^ {2} }\\ { a = S }\\ { \text{Solve for } b \text{ where} } \\ { b = a } \end{array} \right.$$

Solve for S, a, b

$$b=-66330.820301945$$

Solution Steps

Consider the first equation. Subtract 863 from 7 to get -856.

$$S=77.135\left(-856\right)-\frac{1}{2}\times 9.81\times 7.863^{2}$$

Multiply 77.135 and -856 to get -66027.56.

$$S=-66027.56-\frac{1}{2}\times 9.81\times 7.863^{2}$$

Multiply \frac{1}{2} and 9.81 to get \frac{981}{200}.

$$S=-66027.56-\frac{981}{200}\times 7.863^{2}$$

Calculate 7.863 to the power of 2 and get 61.826769.

$$S=-66027.56-\frac{981}{200}\times 61.826769$$

Multiply \frac{981}{200} and 61.826769 to get \frac{60652060389}{200000000}.

$$S=-66027.56-\frac{60652060389}{200000000}$$

Subtract \frac{60652060389}{200000000} from -66027.56 to get -\frac{13266164060389}{200000000}.

$$S=-\frac{13266164060389}{200000000}$$

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

$$a=-\frac{13266164060389}{200000000}$$

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

$$b=-\frac{13266164060389}{200000000}$$

The system is now solved.

$$S=-\frac{13266164060389}{200000000} a=-\frac{13266164060389}{200000000} b=-\frac{13266164060389}{200000000}$$