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Surds and Indices Practice Test 2
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© examsnet.com
Question : 8
Total: 17
Given that
3
x
−
y
=
27
and
3
x
+
y
=
243
, then x is equal to:
6
4
2
0
Validate
Solution:
3
(
x
−
y
)
=
27
⇒
3
(
x
−
y
)
=
3
3
⇒
x
−
y
=
3
...(i)
Again,
3
(
x
+
y
)
=
243
⇒
3
(
x
+
y
)
=
3
5
⇒
x
+
y
=
5
...(ii)
Solving equations (i) & (ii) we get,
x
=
4
© examsnet.com
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