Solve {l}{19=P(1108*5)^8}{a=15.958}{text{Solvefor}btext{where}}{b=a}

$$\left. \begin{array} { l } { 19 = P {(1108 \cdot 5)} ^ {8} }\\ { a = 15.958 }\\ { \text{Solve for } b \text{ where} } \\ { b = a } \end{array} \right.$$

Solve for P, a, b

$$b=15.958$$

Solution Steps

Consider the first equation. Multiply 1108 and 5 to get 5540.

$$19=P\times 5540^{8}$$

Calculate 5540 to the power of 8 and get 887315601754987327513600000000.

$$19=P\times 887315601754987327513600000000$$

Swap sides so that all variable terms are on the left hand side.

$$P\times 887315601754987327513600000000=19$$

Divide both sides by 887315601754987327513600000000.

$$P=\frac{19}{887315601754987327513600000000}$$

The system is now solved.

$$P=\frac{19}{887315601754987327513600000000} a=15.958 b=15.958$$