Question

For which value of a and b does the following pair of leniar equations have an infinite number of solutions? 2x+3y=7,(a-b)x+(a+b)y=3a+b-2

Answer 1

Answer:

Step-by-step explanation:

For infinite solutions

ratio of Coefficient of x , coefficient of y & constt term of two given equations must be equal

i.e;

2/(a-b)=3/(a+b)=7/(3a+b-2)

2/(a-b)=3/(a+b)

2a+2b=3a-3b

5b=a

3/(a+b)=7/(3a+b-7)

9a+3b-21=7a+7b

9(5b)+3b-21=7(5b)+7b

48b-21=42b

6b=21

b=7/2

a=5*7/2

=35/2

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