If x and y are complex numbers, then the system of equations (1+i)x+(1−i)y=1,2ix+2y=1+i has

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unique solution

no solution

infinite number of solutions

none of these

answer is C.

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Detailed Solution

Observing carefully the system of equations, we find1+i2i=1−i2=11+iHence, there are infinite number of solutions.

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