Question

Find the value of k for which the pair of equations 4x – 5y = 5 and kx + 3y =3 is inconsistent

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 al / a2 = b1 / b2 = c1 / 02 4 / k = -5 / 3 = 5/3 k = -12 / 5 or k = 12/5 .... (B) from (A) & ( B) k = 12/5