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Byju's Answer
Standard XII
Mathematics
Manipulation of a linear equation
Find X if Y=3...
Question
Find X if Y =
3
2
1
4
and 2X + Y =
1
0
-
3
2
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Solution
Given
:
2
X
+
Y
=
1
0
-
3
2
⇒
2
X
+
3
2
1
4
=
1
0
-
3
2
⇒
2
X
=
1
0
-
3
2
-
3
2
1
4
⇒
2
X
=
1
-
3
0
-
2
-
3
-
1
2
-
4
⇒
2
X
=
-
2
-
2
-
4
-
2
⇒
X
=
1
2
-
2
-
2
-
4
-
2
⇒
X
=
-
1
-
1
-
2
-
1
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0
Similar questions
Q.
Find
X
, if
Y
=
[
3
2
1
4
]
and
2
X
+
Y
=
[
1
0
−
3
2
]
.
Q.
If
2
x
+
3
y
=
6
and
1
x
+
1
2
y
=
2
then
(a)
x
=
1
,
y
=
2
3
(b)
x
=
2
3
,
y
=
1
(c)
x
=
1
,
y
=
3
2
(d)
x
=
3
2
,
y
=
1
Q.
If the median and the range of four numbers
{
x
,
y
,
2
x
+
y
,
x
−
y
}
where
0
<
x
<
y
are
10
and
32
respectively, then the mean of the numbers is
Q.
If the median and the range of four numbers
{
x
,
y
,
2
x
+
y
,
x
−
y
}
where
0
<
x
<
y
are
10
and
32
respectively, then the mean of the numbers is
Q.
If
2
2
x
−
y
=
32
and
2
x
+
y
=
16
then
x
2
+
y
2
is equal to
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