Question

find the real numbers x and y to make the equation true
8x+8yi=16+24i

Answer 1

8x = 16
8y = 24

Answer 2

This is a simple "make them match" problem.

\[8x+8yi = 16 + 24i\]Clearly, to make the \(i\) terms match, the following must be true:\[8yi = 24i\]Solve for \(y\)

To make the other two terms match, the following must be true:\[8x=16\]Solve for \(x\)

Answer 3

the real and imaginary parts should be equal

Answer 4

The two real parts should be equal, and the two imaginary parts should be equal, but they will not be equal to each other :-)

Answer 5

also this one same thing 2x-7yi=-14+21i