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Pair Of Linear Equations In Two Variables

Question
CBSEENMA10006816

For what value of k, the pair of linear equations 3x - ky + 7 = 0,x - 2y + 5 = 0 has unique solution.

Solution

Given pair of linear equations are :
3x - ky + 7 = 0
and x - 2y + 5 = 0
Here, we have
a1 = 3, b1 = -k
a2 = 1, b22 = -2
For unique solution
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∴ The given system of linear equations has unique solution for all real values of k other than 6.