Let's Solve A Nice System of Equations

Learn how to Solve A Nice Math Olympiad Algebra Problem, step-by-step tutorial.
A Nice Math Olympiad Algebra Problem - How To Solve Algebra Problem Quickly!
Today I will teach you tips and tricks to solve the given Olympiad Math question in a simple and easy way. Learn how to prepare for Math Olympiad fast!
Let's Solve A Nice System of Equations
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[@jamesharmon4994]

By inspection, the answer is (1,2) and (2,1)

[@jamesharmon4994]

x and y must be integers, since adding fractional exponents won't result in a Natural number. Neither x nor y can be greater than 2, else 6^x will be greater than 42.