SOLUTION: Given 2i = ix (2−3i)−y (5+3i).What is the value of x and y:

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Question 1181458: Given 2i = ix (2−3i)−y (5+3i).What is the value of x and y:
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


2i+=+ix%282-3i%29-y%285%2B3i%29

Do the distribution on the right

2i+=+2ix-3i%5E2x-5y-3yi

Simplify/reformat

2i+=+2xi%2B3x-5y-3yi

Separate the real and imaginary parts

2i+=+%283x-5y%29%2B%282x-3y%29i

Add "0" on the left to indicate that the real part of that expression is 0

0%2B2i+=+%283x-5y%29%2B%282x-3y%29i

Write two equations in x and y showing that the real parts of the two expressions are equal and the imaginary parts of the two expressions are equal.

3x-5y+=+0; 2x-3y=2

Solve the pair of equations.

I leave that last bit for you....