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Byju's Answer
Standard XII
Mathematics
Definition of Functions
Find the valu...
Question
Find the values of
x
and
y
which satisfy the equations
(
x
,
y
∈
R
)
(
x
+
2
y
)
+
(
2
x
−
3
y
)
i
+
4
i
=
5
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Solution
(
x
+
2
y
)
+
(
2
x
−
3
y
)
i
+
4
i
=
5
(
x
+
2
y
)
+
(
2
x
−
3
y
)
i
=
5
−
4
i
Comparing the real and imaginary part of both the sides we have,
x
+
2
y
=
5
2
x
−
3
y
=
−
4
2
(
x
+
2
y
)
=
5
×
2
2
x
+
4
y
=
10
±
2
x
∓
34
=
∓
4
solving above equations we get,
+
7
y
=
14
y
=
2
puttinh values in first equation we have,
x
+
2
×
2
=
5
x
+
4
=
5
x
=
5
−
4
=
1
So,
x
=
1
and
y
=
2
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0
Similar questions
Q.
Find the values of x and y which satisfy the given equation,
(
x
,
y
∈
R
)
.
(
x
+
2
y
)
+
(
2
x
−
3
y
)
i
+
4
i
=
5
.
Q.
Find the value of
x
and
y
, if
(
x
+
2
y
)
+
i
(
2
x
−
3
y
)
is the conjugate of
5
+
4
i
.
Q.
Given,
x
=
2
y
+
5
and
y
=
(
2
x
−
3
)
(
x
+
9
)
How many ordered pairs
(
x
,
y
)
satisfy the system of equations shown above?
Q.
Suppose that
x
and
y
are real numbers that satisfy the system of equations
2
x
−
2
y
=
1
,
4
x
−
4
y
=
5
3
The value of
(
x
−
y
)
is
Q.
Given that
x
,
y
∈
R
solve:
(a)
(
x
+
2
y
)
+
i
(
2
x
−
3
y
)
=
5
−
4
i
(b)
(
x
+
i
y
)
+
(
7
−
5
i
)
=
9
+
4
i
(c)
x
2
−
y
2
−
i
(
2
x
+
y
)
2
i
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