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if A ( 3,5) and B(1,4) are solutions of equation ax +by = 7
Then ..
3a +5b = 7
=> a = (7-5b)/3 ...(1)
a +4b = 7
=> a = 7-4b ...(2)
From (1) and (2)
(7-5b)/3 = 7-4b
=> 7-5b = 21 -12 b
=> 7b = 14
=> b = 2 ...(3)
From (3) and (2)
7-4×2 = a
=> a = 7-8 = -1
=> a = -1
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