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In this lesson, we solve Simultaneous Equations involving one Linear and one Quadratic equation using a clear step-by-step exam method suitable for GCSE, AS & A Level Maths (2026/2027 syllabus). If you’ve ever struggled with eliminating variables, substituting into a quadratic, or handling two solutions correctly, this video breaks everything down in a simple and practical way. You will learn: ✔️ How to identify linear and quadratic simultaneous equations ✔️ When to use substitution method effectively ✔️ How to reduce to a quadratic equation ✔️ Solving the quadratic accurately ✔️ Substituting back to find the second variable ✔️ Common exam mistakes and how to avoid them ✔️ How to present full marks working in exams This topic is extremely important for: • GCSE Higher Tier Maths • AS Mathematics • A Level Pure Mathematics • WAEC / NECO / IGCSE candidates • University foundation students, Calculus I, II & III, Engineering Math As always, I focus on clear explanations, structured working, and exam technique so you can confidently solve similar questions in your exams. 📌 Need more support? Check out my full Algebra and Simultaneous Equations playlist. 📢 Support the channel: Subscribe, like, and share this video across your social media platforms. Drop your questions in the comments — I respond as quickly as possible. Keywords simultaneous equations linear and quadratic, solve quadratic simultaneous equations, substitution method maths, elimination method algebra, GCSE algebra exam questions, A level pure maths algebra, AS level maths 2026, quadratic equations exam method, algebra step by step tutorial Hashtags #SimultaneousEquations #GCSEMaths #ALevelMaths #ASLevelMaths #Algebra #QuadraticEquations #PureMaths #MathsRevision #ExamPreparation #STEMEducation 🎓 Need Extra Academic Support? I also offer support in: 🔹 Physics (University Physics I & II) 🔹 Chemistry 🔹 Calculus I, II & III 🔹 Engineering Mathematics 🔹 Algebra & Advanced Mathematics 🔹 Project Writing Assistance 🔹 Dissertation & Thesis Guidance 🔹 One-on-One & Group Tutorials For collaborations, tutoring, or academic support, contact: [Email: successgold123@gmail.com ] Twitter : @MathsciC49603