Find the value of k for which the pair of equations 4x-5y=5 and kx-3y=3 is consistent
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Answer:
For consistent,two cases arise
(1) for unique solution
a1/a2 not equal to b1/b2
4/k not equal to-5/3
k not equal to -12/5...(A)
(2) for infinitely many solutions
a1/a2 = b1/b2=c1/c2
4/k=-5/3=5/3
k=-12/5 or k=12/5....(B)
from (A) &(B)
k=12/5
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