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**Mod note: This thread was moved from a technical math section, so doesn't include the homework template**.

I know this has been asked before, but none of the other posts have helped me. I cannot for the life of me figure out how to solve a system of equations with complex numbers. Here is a very simple example (from and older post):

(1+i)x + (2+i)y =5

(3+2i)x + (4+i)y =10 WolframAlpha says x=2 + i, and y = 1 - 2i

One suggestion was to split it up into two separate systems, which I believe would give:

x + 2y = 5 and ix + iy = 0i

3x + 4y = 10 and 2ix + iy = 0i Is that correct?

Obviously for the second equation, x and y would = 0, which is clearly not the original answer WolframAlpha gives. (For the second equation it turns out x = 0, and y = 2.5, which is still not like the original system)

Please help! How do you do this? And I know you can substitute for this equation, but that becomes impractical for systems with 3 and 4 equations and unknowns.

Thank you

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