Solve {l}{1=hi}{j=hi}{text{Solvefor}ktext{where}}{k=j}

$$\left. \begin{array} { l } { 1 = h i }\\ { j = h i }\\ { \text{Solve for } k \text{ where} } \\ { k = j } \end{array} \right.$$

Solve for h, j, k

$$k=1$$

Solution Steps

Consider the first equation. Divide both sides by i.

$$\frac{1}{i}=h$$

Multiply both numerator and denominator of \frac{1}{i} by imaginary unit i.

$$\frac{i}{-1}=h$$

Divide i by -1 to get -i.

$$-i=h$$

Swap sides so that all variable terms are on the left hand side.

$$h=-i$$

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

$$j=-ii$$

Multiply -i and i to get 1.

$$j=1$$

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

$$k=1$$

The system is now solved.

$$h=-i j=1 k=1$$