SOLUTION: Please help with this problem The complex numbers 2/5xi + 3 and -4 - 1/4yi are equal. Find the values of x and y Have tried solving as a regular equation but cannot find equal va

Question 152423: Please help with this problem
The complex numbers 2/5xi + 3 and -4 - 1/4yi are equal. Find the values of x and y
Have tried solving as a regular equation but cannot find equal values.
Answer by orca(409) (Show Source): You can put this solution on YOUR website!
It seems that 2/5xi + 3 should be changed to 2/5x + 3i.
NOTE THAT: Two complex numbers are equal if and only if their real parts are equal and their imaginary parts are equal.
Therefore for and to be equal, two conditions must be satisfied:

Solving the first equation for x, we have x=-10.
Solving the second equation for y, we have y=-12.

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