Question

for which values of a and b does the following pair of linear equations have an infinite number of solutions?
2x+3y=7.
(a-b) x +(a+b)y= 3a+b-2.

Answer 1

Hey bro here is your answer.....


Hope it helps you..
Thanks....

A=5
b=1

Answer 2

Here, A1=2, B1=3, C1=7
And, A2=a-b, B2=a+b, C2=3a+b-2

For an equation to have infinite number of solutions,
A1/A2=B1/B2=C1/C2

I.e. 2/a-b=3/a+b=7/3a+b-2

2a+2b=3a-3b
This implies, a=5b

Also, 3/a+b=7/3a+b-2
This implies, 9a+3b-6=7a+7b
2b-4b=6
2b-20b=6
b=-3

a=-15