Solve {l}{E={(2*4)}}{F={(4*5*6)}}{a=F*E}{text{Solvefor}btext{where}}{b=a}

$$\left. \begin{array} { l } { E = {(2 \cdot 4)} }\\ { F = {(4 \cdot 5 \cdot 6)} }\\ { a = F \cdot E }\\ { \text{Solve for } b \text{ where} } \\ { b = a } \end{array} \right.$$

Solve for E, F, a, b

$$b=960$$

Solution Steps

Consider the first equation. Multiply 2 and 4 to get 8.

$$E=8$$

Consider the second equation. Multiply 4 and 5 to get 20.

$$F=20\times 6$$

Multiply 20 and 6 to get 120.

$$F=120$$

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

$$a=120\times 8$$

Multiply 120 and 8 to get 960.

$$a=960$$

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

$$b=960$$

The system is now solved.

$$E=8 F=120 a=960 b=960$$