Write an equation whose solution is not a whole number
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2x + 5y = 90
x and y are whole numbers. how many (x,y) can this equation get?
I thought it like this;
2x = 90-5y
x = (90-5y)/2
x is a whole number so must be divisible by 2. So I thought--- by giving y the values {0, 2, 4, 6, 8, 10, 12, 14, 16} it can be divided by 2.
There can be 9 (x,y)s
If it is true, is there a better way to do it? And If not where did I make the mistake?
Thanks!
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