Question

Find the value of a and b for which the following system of linear equations has infinitely many solutions:
(i) 2x+3y= 7 and 2ax+ ay=28- by.
(ii) 2x+3y=7 ,(a-b)x +(a+b)y =3a +b-2
(iii) 2x-(2a+5)y =5, (2b+1)x -9y =15​

Answer 1

Find the value of a and b for which the following system of linear equations has infinitely many solutions:

(i) 2x+3y= 7 and 2ax+ ay=28- by.

(ii) 2x+3y=7 ,(a-b)x +(a+b)y =3a +b-2

(iii) 2x-(2a+5)y =5, (2b+1)x -9y =15