Solve {l}{a={(-1/10-1/5i)}}{j={(-2+4i)}a}{k={(28-96i)}}{l=j}{m=k}{n=l}{o=m}{p=n}{q=o}{r=p}{s=q}{t=r}{u=s}{text{Solvefor}v,wtext{where}}{v=t}{w=u}

$$\left. \begin{array} { l } { a = {(-\frac{1}{10} - \frac{1}{5} i)} }\\ { j = {(-2 + 4 i)} a }\\ { k = {(28 - 96 i)} }\\ { l = j }\\ { m = k }\\ { n = l }\\ { o = m }\\ { p = n }\\ { q = o }\\ { r = p }\\ { s = q }\\ { t = r }\\ { u = s }\\ { \text{Solve for } v,w \text{ where} } \\ { v = t }\\ { w = u } \end{array} \right.$$

Solve for a, j, k, l, m, n, o, p, q, r, s, t, u, v, w

$$v=1$$

$$w=28-96i$$

Solution Steps

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

$$j=\left(-2+4i\right)\left(-\frac{1}{10}-\frac{1}{5}i\right)$$

Multiply -2+4i and -\frac{1}{10}-\frac{1}{5}i to get 1.

$$j=1$$

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

$$l=1$$

Consider the equation (6). Insert the known values of variables into the equation.

$$n=1$$

Consider the equation (8). Insert the known values of variables into the equation.

$$p=1$$

Consider the equation (10). Insert the known values of variables into the equation.

$$r=1$$

Consider the equation (12). Insert the known values of variables into the equation.

$$t=1$$

Consider the equation (14). Insert the known values of variables into the equation.

$$v=1$$

The system is now solved.

$$a=-\frac{1}{10}-\frac{1}{5}i j=1 k=28-96i l=1 m=28-96i n=1 o=28-96i p=1 q=28-96i r=1 s=28-96i t=1 u=28-96i v=1 w=28-96i$$