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The pair of linear equations 2kx + 5y = 7, 6x – 5y = 11 has a unique solution if –

  • a)
    k ≠ -3

  • b)
    k = 3

  • c)
    k = 5

  • d)
    k = -5

Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The pair of linear equations 2kx + 5y = 7, 6x – 5y = 11 has a un...
Given :
2 k x + 5 y – 7 = 0  ...( i )
6 x – 5 y – 1 = 0   ... ( ii )
Pair of linear equations has a unique solution.
We know for unique solution.
Comparing from ( i ) and ( ii ) we have
Put these values in formula.
Thus we get answer many values of k but leaving k ≠ -3.
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Community Answer
The pair of linear equations 2kx + 5y = 7, 6x – 5y = 11 has a un...
2kx + 5y = 7
6x - 5y = 11

In case of unique solution
a1 / a2 is not equal to b1 / b2 but equal to c1 / c2


See -----
2k / 6 = 5 / -5
- 10k = 30
10 k = -30
k = - 3.
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