Question

How do i find the real numbers for 3+yi=x-7i ?

Answer 1

The real numbers for x and y

Answer 2

The real part of 3+yi is 3

The real part of x-7i is x


So x = 3


Using the same idea, the imaginary part of the left side is yi and the imaginary part of the right side is -7i


So yi = -7i, which means that y = -7

Answer 3

so i just divide by i?

Answer 4

in a sense yes, but just notice that the the left i term has a coefficient of y and the right i term has a coefficient of -7. So because they're equal, y = -7

Answer 5

oh ok