Question

The pair of linear equations 7x + ky = k, 14x + 2y = k + 1 has infinitely many solutions if

Answer 1

GIVEN :

Equations :

7x + ky = k and 14x + 2y = K + 1

We know that,

When an infinite number of solutions

Then,

a1/a2 = b1/b2 = c1/c2

a1 = 7 a2 = k

b1 = 14 b2 = 2

7/k = 14/2

7 × 2 = 14k

=> 14k = 14

=> k = 14/14

=> k = 1

Therefore, the value of k is 1.