Can You Solve These Math Olympiad Simultaneous Equations?

Are you struggling with simultaneous equations? I'd like to help you with that. In this video, I solve an interesting pair of simultaneous exponential equations: (3/2)^(x−y) − (2/3)^(x−y) = 65/36 and xy − x + y = 118. This problem combines concepts from indices, exponents, and algebraic manipulation, making it a great challenge for senior secondary school students, A-level students, and math enthusiasts who enjoy exploring non-routine problems. You’ll see how to cleverly simplify the exponential expressions and connect them to the second equation to find the exact values of x and y. Whether you’re preparing for competitive math exams, the Math Olympiad, or simply want to strengthen your problem-solving skills, this tutorial breaks the solution down step by step in a clear and logical way. Don’t forget to like 👍, subscribe    / @nonsomaths  , and hit the notification bell for more math tips and tricks! #matholympiad #mathtutorial #algebra