Solve {l}{z/{(-8)}=1/4}{a=z}{b=a}{c=b}{text{Solvefor}dtext{where}}{d=c}

$$\left. \begin{array} { l } { z / {(-8)} = \frac{1}{4} }\\ { a = z }\\ { b = a }\\ { c = b }\\ { \text{Solve for } d \text{ where} } \\ { d = c } \end{array} \right.$$

Solve for z, a, b, c, d

$$d=-2$$

Solution Steps

Consider the first equation. Multiply both sides by -8.

$$z=\frac{1}{4}\left(-8\right)$$

Multiply \frac{1}{4} and -8 to get -2.

$$z=-2$$

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

$$a=-2$$

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

$$b=-2$$

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

$$c=-2$$

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

$$d=-2$$

The system is now solved.

$$z=-2 a=-2 b=-2 c=-2 d=-2$$