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Mathematics
Mathematics
Problem
If
x
−
3
3
+
i
+
y
−
3
3
−
i
=
i
\frac{x-3}{3+i} + \frac{y-3}{3-i} = i
3
+
i
x
−
3
+
3
−
i
y
−
3
=
i
, where
x
,
y
∈
R
x, y \in \mathbb{R}
x
,
y
∈
R
and
i
=
−
1
i = \sqrt{-1}
i
=
−
1
, find the values of
x
x
x
and
y
y
y
.
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