Solving a nice math Olympiad Exponential equation | Only 5% Can Solve this | Try this trick too

[@nandeeshnagarajaiah8662]

Check 85+6, 85+6^2 etc. See that 85+6^2=11^2. So x=2, y=2.

[@andresrebolledobanquet1924]

11x - 6y = 85
y = 85 / - 6
y = - 14.16667
11x = 85+ 14.16667
11x = 99.16667
x = 99.16667 / 11
x = 9.01515✓
y = -14.16667✓