If (1 - i)x + (1 + i)y = 1 - 3i, then (x,y) = - Vidyadip

MCQ

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

✓
$(2, - 1)$
B
$( - 2,\,1)$
C
$( - 2, - 1)$
D
$(2, 1)$

✓

Answer

Correct option: A.

$(2, - 1)$

a
(a) $(1 - i)x + (1 + i)y = 1 - 3i$

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

Equating real and imaginary parts, we get $x + y = 1$and $ - x + y = - 3$; $\therefore $ $x = 2,y = - 1$.

Thus point is $(2,\, - 1)$.

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