SOLUTION: What are the values of x and y when (5−3i)−(x+ yi)=(3−i)?

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Question 743807: What are the values of x and y when (5−3i)−(x+ yi)=(3−i)?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+5+-+3i+-%28+x+%2B+y%2Ai+%29+=+3+-+i+
+5+-+x+-+3i+-+y%2Ai+=+3+-++i+
+%28+5+-+x+%29+-+%28+3+%2B+y+%29%2Ai+=+3+-++i+
----------------------------
I have separated the left side into
a real part and an imaginary part
----------------------------
+5+-+x+=+3+
+-x+=+-2+
+x+=+2+
and
+3+%2B+y+=+1+
+y+=+-2+
----------
check:
+5+-+3i+-%28+x+%2B+y%2Ai+%29+=+3+-+i+
+5+-+3i+-%28+2+%2B+%28-2%29%2Ai+%29+=+3+-+i+
+5+-+3i+-+2+%2B+2i+=+3+-+i+
+3+-+i+=+3+-+i+
OK