Solve {l}{a=-5}{b=-a^-2}{c=b}{text{Solvefor}dtext{where}}{d=c}

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

Solve for a, b, c, d

$$d=-\frac{1}{25}=-0.04$$

Solution Steps

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

$$b=-\left(-5\right)^{-2}$$

Calculate -5 to the power of -2 and get \frac{1}{25}.

$$b=-\frac{1}{25}$$

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

$$c=-\frac{1}{25}$$

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

$$d=-\frac{1}{25}$$

The system is now solved.

$$a=-5 b=-\frac{1}{25} c=-\frac{1}{25} d=-\frac{1}{25}$$