SOLUTION: (x+yi)(2-3i)=-13i. I want to find the values of x and y.

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Question 1020227: (x+yi)(2-3i)=-13i.
I want to find the values of x and y.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%2Byi%29%282-3i%29=2x-3xi%2B2yi-3yi%5E2+=+%282x%2B3y%29%2B%282y-3x%29i+=+-13i, keeping in mind that i%5E2+=+-1
==> 2x +3y = 0 and 2y - 3x = -13
Multiply the first equation by 3, giving 6x +9y = 0
Multiply the second equation by 2, giving 4y - 6x = -26
Add the corresponding of the two resulting equations:
13y = -26
==> y = -26/13 = -2, and
==> x = %28-3%2F2%29%2A%28-2%29+=+3