Question

Find the value of alpha, and beta for which the following
pair of linear equations have infinite number of
solutions : 2x + 3y = 7; 2ax + (a + b)y = 28.​

Answer 1

2x+3y=7

2ax+(a+b)y=28

2/2a=3/(a+b)=1/4

1/a=3/(a+b)=1/4

1/a=1/4. 3/(a+b)=1/4

a=4. 4+b=12

. b=8