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Question
Mathematics
If (1-i) x+(1+i) y=1-3 i, then (x, y)=
Q. If
(
1
−
i
)
x
+
(
1
+
i
)
y
=
1
−
3
i
, then
(
x
,
y
)
=
342
181
Complex Numbers and Quadratic Equations
Report Error
A
(
2
,
−
1
)
76%
B
(
−
2
,
1
)
13%
C
(
−
2
,
−
1
)
3%
D
(
2
,
1
)
8%
Solution:
(
1
−
i
)
x
+
(
1
+
i
)
y
=
1
−
3
i
comparing the real and imaginary part
x
+
y
=
1.....
(1)
−
x
+
y
=
−
3.....
(2)
⇒
x
=
2
,
y
=
−
1