Complex number Q (2 Viewers)

[nrumble42]

Find the real numbers x and y such that:
(1+i)x + (2-3i)y = 10



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[InteGrand]

Find the real numbers x and y such that:
(1+i)x + (2-3i)y = 10



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Equate real parts:

x + 2y = 10. (1)

Equate imaginary parts:

x – 3y = 0. (2)

Solving simultaneously yields x = 6 and y = 2.

 

[Mahan1]

Find the real numbers x and y such that:
(1+i)x + (2-3i)y = 10



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Another slightly different method is to multiply the original equation by (1-i) then equation only the imaginary parts yields:

and
equating the real part of the original part shows