Question

Find x and y so that the following equation is true

\[\frac{2x}{3}+\frac{5yi}{4}=-12-25i\]

Answer 1

Isolate the real and imaginary parts.
\[\frac{2x}{3} = -12\]\[\frac{5yi}{4} = -25i\]

Answer 2

x=-18 and y=-20?

Answer 3

Yup :)

Answer 4

yes. x=-18 and y=20.

Answer 5

x=-18 and y=-20

Answer 6

For x=-18, y = -20 to be true, it must be specified that x and y are real.
Otherwise there are infinite number of solutions.

Take for example, x = -3 and y = -20+4i