Determine all integer solutions to 5x - 7y =99. Be careful, watch the minus sign
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x = (99+7y)/5
we need y such that x is an
integer.
we need unit place at 99+7.y to be either 0 or 5 so that 5 divides it completely.
As we have 9 in the units place of 99,we need either 1 or 6 in that of 7*y .
so possible solutions for y are-
3,8,13,18,23,28,33,38
put in the equation and get respective values for x
we need y such that x is an
integer.
we need unit place at 99+7.y to be either 0 or 5 so that 5 divides it completely.
As we have 9 in the units place of 99,we need either 1 or 6 in that of 7*y .
so possible solutions for y are-
3,8,13,18,23,28,33,38
put in the equation and get respective values for x
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