Solve {l}{a=5}{b=4}{c=(ab)^2}{text{Solvefor}dtext{where}}{d=c}

$$\left. \begin{array} { l } { a = 5 }\\ { b = 4 }\\ { c = {(a b)} ^ {2} }\\ { \text{Solve for } d \text{ where} } \\ { d = c } \end{array} \right.$$

Solve for a, b, c, d

$$d=400$$

Solution Steps

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

$$c=\left(5\times 4\right)^{2}$$

Multiply 5 and 4 to get 20.

$$c=20^{2}$$

Calculate 20 to the power of 2 and get 400.

$$c=400$$

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

$$d=400$$

The system is now solved.

$$a=5 b=4 c=400 d=400$$