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UPSC NDA I 2012 Mathematics Paper
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© examsnet.com
Question : 3
Total: 120
The solution of the simultaneous linear equations
2
x
+
y
=
6
and
3
y
=
8
+
4
x
will also be satisfied by which one of the following linear equations?
x
+
y
=
5
2
x
+
y
=
9
2
x
−
3
y
=
10
2
x
+
3
y
=
6
Validate
Solution:
2
x
+
y
=
6
⇒
2
x
=
6
−
y
3
y
=
8
+
2
(
2
x
)
3
y
=
8
+
2
(
6
−
y
)
3
y
=
8
+
12
−
2
y
5
y
=
20
y
=
4
⇒
2
x
=
2
x
=
1
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