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Have you ever been solving a math problem and ended up with a weird answer like 0=0 or -18=0? It feels like you've made a mistake, but what if the answer is actually trying to tell you something about the geometry of the equations? In this video, we explore the three possible outcomes when solving a system of linear equations. We'll start with a straightforward problem that gives us a unique answer, and then go into the weirder cases where we find infinite solutions or no solution at all. By the end, you'll understand the connection between algebra and intersecting lines. ⏰ TIMESTAMPS: 00:00 - Introduction 00:13 - Example 1: One Unique Solution (Intersecting Lines) 03:00 - Example 2: Another Unique Solution 05:49 - Example 3: The Strange Case of Infinite Solutions (0 = 0 09:11 - Example 4: The Paradox of No Solution (-18 = 0 12:09 - Challenge Problem For You! 🔗PI-DBACK LINK: https://forms.gle/zPCGhAH7YPUAk4at8 ------------------------------------------------------------------- If you found this video helpful, please consider liking and subscribing for more mathematical explorations. Have a Pi 💛 Day! #SystemOfEquations #LinearAlgebra #Algebra #MathLesson