Solve {l}{a={(-1/10-1/5i)}}{j={(-2+4i)}a}{k={(28-96i)}}{l=j}{m=k}{n=l}{o=m}{text{Solvefor}p,qtext{where}}{p=n}{q=o}

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

Solve for a, j, k, l, m, n, o, p, q

$$p=1$$

$$q=28-96i$$

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.

$$p=1$$

The system is now solved.

$$a=-\frac{1}{10}-\frac{1}{5}i j=1 k=28-96i l=1 m=28-96i n=1 o=28-96i p=1 q=28-96i$$