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Byju's Answer
Standard X
Mathematics
Linear Equation
For what valu...
Question
For what values of
k
does the pair of equations
x
−
2
y
=
3
,
3
x
+
k
y
=
1
have a unique solution? [ 2 MARKS]
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Solution
Concept : 1 Mark
Application : 1 Mark
Given equations are,
x
−
2
y
=
3
⇒
x
−
2
y
−
3
=
0
…
…
(
i
)
a
1
=
1
,
b
1
=
−
2
,
c
1
=
3
3
x
+
k
y
=
1
⇒
3
x
+
k
y
−
1
=
0
…
…
(
i
i
)
a
2
=
3
,
b
2
=
k
,
c
2
=
−
1
For pair of equations to have unique solution,
a
1
a
2
≠
b
1
b
2
1
3
≠
−
2
k
⇒
k
≠
−
6
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