Question

for which values of a and b will the following pair of linear equation have Infinitly solution
x+ 2y =1,(a-b)x +( a + b) - 2

Answer 1

Hey friend,

Here is your answer,
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x + 2y = 1
(a-b)x + (a+b)y = 2


For infinite solutions,

 1    =   2   =  1 
a-b     a+b     2

 1    =  1
a-b      2

a-b = 2          ----------------(i)

 2    =  1
a+b     2

a+b = 4         ----------------(ii)


(i)+(ii)

  2a  =  6
  a  = 3

Put a=3 in (i)
3-b = 2
b = 1

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