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Byju's Answer
Standard X
Mathematics
Method of Substitution to Find the Solution of a Pair of Linear Equations
Given b=2a/...
Question
Given
b
=
2
a
a
−
2
and
c
=
3
b
−
4
4
b
+
3
, express c in terms of a.
A
c
=
2
a
+
8
11
a
+
6
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B
c
=
2
a
−
8
11
a
−
6
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C
c
=
2
a
+
8
11
a
−
6
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D
none of the above
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Solution
The correct option is
B
c
=
2
a
+
8
11
a
−
6
Given,
c
=
3
b
−
4
4
b
+
3
But,
b
=
2
a
a
−
2
Hence,
c
=
3
(
2
a
a
−
2
)
−
4
4
(
2
a
a
−
2
)
+
3
=
>
c
=
6
a
−
4
a
+
8
8
a
+
3
a
−
6
=
>
c
=
2
a
+
8
11
a
−
6
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0
Similar questions
Q.
Given
b
=
2
a
a
−
2
and
c
=
3
b
−
4
4
b
+
3
, express c in terms of a.
Q.
Simplify
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3
a
×
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×
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Q.
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a
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2
a
Q.
8
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a
×
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5
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2
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a
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×
2
11
a
×
2
−
2
a
is
2
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+
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State true or false:
Q.
Simplify :
a
2
−
16
a
3
−
8
×
2
a
2
−
3
a
−
2
2
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+
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÷
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