If ax + by = 17 ,
2ax + 3by = 43
and 3x =2y, which of the following is a possible value of a+b if a and b are integers?
Too many variables! I will try to look at the big picture here.
We have two equations:ax + by = 17
,2ax + 3by = 43
Twice of (ax + by) will be 34 so we get that 'by' must be 43 - 34 = 9
If by = 9, ax must be 17 - 9 = 8
Now, x/y = 2/3
ax/by = (a/b)*(2/3) = 8/9
So a/b = 4/3
Since a and b are integers, many such solutions are possible: a = 4, b = 3 OR a = 8, b = 6 etc. a+b will be 7/14/21...
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