Question

Find the real numbers x and y that make the equation true.
-4+yi = x+3i

Answer 1

Answer:

x = -4

y = 3

Step-by-step explanation:

To get the values of x and y, you have to compare both sides of the equation.

For both sides to be equal,

yi must equal 3i

And x equal -4

yi = 3i-------------------------- divide through by i

y = 3

And x = -4'

Answer 2

We can manipulate the equation to get

$-4+yi = x+3i \iff -x+yi=4+3i$

The real part of our number is -x, and we want a real part of 4. So, we have x=-4

The imaginary part of our number is y, and we want imaginary part 3, so we have y=3.