Solve {l}{A_{B}=0.99}{a=0.00305034436081428}{b=50.6*3.454*10^-3}{text{Solvefor}c,dtext{where}}{c=a}{d=b}

$$\left. \begin{array} { l } { A_{B} = 0.99 }\\ { a = 0.00305034436081428 }\\ { b = 50.6 \cdot 3.454 \cdot 10 ^ {-3} }\\ { \text{Solve for } c,d \text{ where} } \\ { c = a }\\ { d = b } \end{array} \right.$$

Solve for A_B, a, b, c, d

$$c=0.00305034436081428$$

$$d=0.1747724$$

Solution Steps

Consider the third equation. Multiply 50.6 and 3.454 to get 174.7724.

$$b=174.7724\times 10^{-3}$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$b=174.7724\times \frac{1}{1000}$$

Multiply 174.7724 and \frac{1}{1000} to get \frac{436931}{2500000}.

$$b=\frac{436931}{2500000}$$

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

$$d=\frac{436931}{2500000}$$

The system is now solved.

$$A_{B}=0.99 a=0.00305034436081428 b=\frac{436931}{2500000} c=0.00305034436081428 d=\frac{436931}{2500000}$$