Question

Find the value of k for which the pair of equations 4x-5y=5 and kx-3y=3 is consistent​

Answer 1

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