Can You Solve This System? x² + y² = 25 and 2x − y = 5 Explained.

In this video, I solve the system of simultaneous equations x² + y² = 25 and 2x − y = 5 using substitution and algebraic techniques suitable for senior high school students and math Olympiad enthusiasts. I begin by expressing y in terms of x from the linear equation, then substitute into the circle equation to reduce it to a quadratic in x. After solving the quadratic, I find the corresponding y-values and present the complete set of solutions clearly and step by step. This problem is a great example of how geometry and algebra intersect, and it's perfect practice for students preparing for competitive exams or anyone who enjoys elegant problem solving in mathematics.

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Видео Can You Solve This System? x² + y² = 25 and 2x − y = 5 Explained. канала NonsoMaths