Question

Find the value of K for which the system of linear equations x+2y=11 and,5x+Ky+7=0 is inconsistant​

Answer 1

The given two equations are:

x + 2y – 3 = 0 …(i)

5x + ky + 7 = 0 …(ii)

Here, we have:

a1 = 1, b1 = 2 and c1 = – 3

a2 = 5, b2 = k and c2 = 7

We know that, for the system to be consistent we must have

a1/a2= b1/b2 # c1/c2

1/5 = 2/k

so k = 2*5

=10

The value of k=10