Q. 274.1( 7 Votes )

Find the value of k for which each of the following systems of equations has no solution:

8x + 5y = 9, kx + 10y = 15.

Answer :

Given: 8x + 5y = 9 – eq 1


kx + 10y = 15 – eq 2


Here,


a1 = 8, b1 = 5, c1 = - 9


a2 = k, b2 = 10, c2 = - 15


Here,


Given that system of equations has no solution


=


=


Here,


=


8×10 = 5×k


5k = 80


K =


k = 16


k = 16


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