Question

If am=bl, then find whether the pair of linear equations ax+by=c and lx+my=n has no solution, unique solutions or infinitely many solutions

Answer 1

Hey

The equations are :-

ax + by - c = 0

and ,

lx + my - n = 0

and given that :-

am = bl

=> a / l = b / m ––– ( i )


Now ,

a1 / a2 = a / l

b1 / b2 = b / m

c1 / c2 = c / n

So from equation ( i ) , we can say that

a1 / a2 = b1 / b2 =/= c1 / c2

So , it is a case of no solution .

thanks :)