Question

Find the no. Of solution of the following pair of linear equations:3x+6y=24;2x+4y-16=0.

Answer 1

Here,a1=3,b1=6,c1=24
a2=2,b2=4,c2=16
a1/a2=b1/b2=c1/c2
3/2=6/4=24/16
3/2=3/2=3/2
Thus,the following pairs of equation have infinitely many solutions

Answer 2

In the equation a1=3,a2=2,b1=6,b2=4,c1=-24,c2=-16 in the equation a1/a2=b1/b2=c1/c2,so it has infinitely many solutions