Solve {l}{51A-{(3*10^3)}={(7*10^2)}}{a=1.10*10^3}{text{Solvefor}btext{where}}{b=a}

$$\left. \begin{array} { l } { 51 A - {(3 \cdot 10 ^ {3})} = {(7 \cdot 10 ^ {2})} }\\ { a = 1.10 \cdot 10 ^ {3} }\\ { \text{Solve for } b \text{ where} } \\ { b = a } \end{array} \right.$$

Solve for A, a, b

$$b=1100$$

Solution Steps

Consider the first equation. Calculate 10 to the power of 3 and get 1000.

$$51A-3\times 1000=7\times 10^{2}$$

Multiply 3 and 1000 to get 3000.

$$51A-3000=7\times 10^{2}$$

Calculate 10 to the power of 2 and get 100.

$$51A-3000=7\times 100$$

Multiply 7 and 100 to get 700.

$$51A-3000=700$$

Add 3000 to both sides.

$$51A=700+3000$$

Add 700 and 3000 to get 3700.

$$51A=3700$$

Divide both sides by 51.

$$A=\frac{3700}{51}$$

Consider the second equation. Calculate 10 to the power of 3 and get 1000.

$$a=1.1\times 1000$$

Multiply 1.1 and 1000 to get 1100.

$$a=1100$$

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

$$b=1100$$

The system is now solved.

$$A=\frac{3700}{51} a=1100 b=1100$$