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Q1) Given pair of linear equations:
3x-(a+1)y=2b-1......................1
5x+(1-2a)y=3b......................2
Here we have,
a1=3 , a2=5 , b1=-a-1 , b2=1-2a , c1=2b-1 , c2=3b
The condition required for which pair of linear equation has infinitely many solution is,
a1/a2 = b1/b2 = c1/c2
By putting all values we have,
3/5 = (-a-1)/(1-2a) = (2b-1)/(3b)
3/5 = (-a-1)/(1-2a) and 3/5 = (2b-1)/(3b)
3-6a = -5a-5 and 9b =10b-5
a = 8 and b=5
For value of a=8 and b=5 ,the given pair of linear equation has infinitely many solutions.
Hope helps.......
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