if a and b satisfy the equations 3x+7y=5 and 11x+5y=7 then 31(a+b)
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Step-by-step explanation:
3x+7y=5
3a+7b=5 -------(1)
11x+5y=7
11a+5b=7 -------(2)
Solving (1) & (2)
(3a+7b=5)×11
(11a+5b=7)×3
33a+77b=55
33a+15b=21
___________
62b=34
b=17\31
Putting b value in equation (1)
We get a=12\31
31(a+b)
31(12/31+17/31)
31(12+17/31)
31(29/31)
29
Hence proved
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