Find all real values of c for which the pair of linear equations 2x + y = 8 and 5x -2y = c have a unique solution.
Answers
Answered by
1
Answer:
Given equations is
x+2y=8,5x+10y=c
The equations a
1
x+b
1
y=c
1
and a
2
x+b
2
y=c
2
will have uique solutions if
a
2
a
1
=
b
2
b
1
=
c
2
c
1
but from equations,
a
2
a
1
=
5
1
,
b
2
b
1
=
10
2
,
c
2
c
1
=
c
8
∴
a
2
a
1
=
b
2
b
1
The given equations does not have unique solution, so the given statement is false, The correct answer is 0
Answered by
2
Given equations is
x+2y=8,5x+10y=c
The equations a
1
x+b
1
y=c
1
and a
2
x+b
2
y=c
2
will have uique solutions if
a
2
a
1
=
b
2
b
1
=
c
2
c
1
but from equations,
a
2
a
1
=
5
1
,
b
2
b
1
=
10
2
,
c
2
c
1
=
c
8
∴
a
2
a
1
=
b
2
b
1
The given equations does not have unique solution, so the given statement is false, The correct answer is 0
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