1.

find the value of k for which the following system of equations has infinitely many solutions ; (K - 1)X+3Y is= 7; (k + 1)X + 6Y=( 5 k -1)

Answer»

In the two pair of equations,
a1 = k-1. b1 = 3. c1 = 7
a2 = k+1. B2 = 6. c2 = 5k-1

As the pair of equations should have INFINITELY many solutions. the two LINES MUST be coincident...

Then, a1/a2 = b1/b2 = c1/c2

= k-1/k+1 = 3/6

= 2(k-1) = k+1

= 2k-2 = k+1

= k = 3...

There your have your solution..


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