\(2x+5y=99\)
For x to be an integer, u must be odd.
With every change of 2 in y, there will be a change of 5 in y.
For example
When y=11, x=22.
When y=13, x=17
So y=15 will result in lower value of x=17-5 =12
Thus, Answer is all odd values between -20 and 14.
So, \(\frac{14−(−20)}{2}=17\)