Solve $(1 - i) x + (1 + i) y = 1 - 3 i,$

x = - 1, y = 2.

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x = 2, y = - 1.

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x = 2, y = 1.

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x = 1, y = 2.

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Solution

The correct option is B $x = 2, y = - 1.$
$(1 - i) x + (1 + i) y = 1 - 3 i .$
Equating real and imaginary parts, we get
$x + y = 1$ and $- x + y = - 3.$
Adding both equations we get $y = - 1$
Substituting this value of $y$ in any of the 2 equations, we get $x = 2$
$∴ x = 2, y = - 1.$

Ans: B

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