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Standard XII
Mathematics
Question
Given that
x
y
=
6
and
4
(
y
+
1
)
=
x
If
(
x
,
y
)
is the solution to the system of equations
above, what is the value of
y
?
2
4
12
24
A
12
B
2
C
4
D
24
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Solution
Verified by Toppr
Given,
x
y
=
6
.
.
.
(
1
)
and
4
(
y
+
1
)
=
x
.
.
.
(
2
)
Substituting eqn
(
2
)
in eqn
(
1
)
, we get
4
(
y
+
1
)
y
=
6
⇒
4
y
+
4
=
6
y
⇒
2
y
=
4
⇒
y
=
2
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Given that
x
y
=
6
and
4
(
y
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)
=
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If
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x
,
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)
is the solution to the system of equations
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?
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