Question

find the value of 'k' for which the following pair of linear equation has infinitely many solutions 2x - 3 Y = 7 and (K - 1)X + (K + 2)Y = 3 k

Answer 1

2/ (k-1)= 3/ (k+ 2 )=7/k
Equating first and last we get 7k- 7= 6 k
K=7
We had equated the a1 /a2 = b1 /b2 = c1 /c2 because it is given that there are infinitely many solutions