Question

Describe all solutions to zw - 3w - 2iw + 4z = 7iw + 5w + 11iz - 13 + 15i
where z and w are complex numbers.

Answer 1

The solution to this equation is z = (7i + 5 + 11i)w + (13 - 15i). This means that for any complex number w, the corresponding value of z is a linear combination of w and the constants 7i, 5, 11i, 13, and -15i.