In this mini-lesson, I explain the three types of solutions for systems of linear equations in two variables: independent, dependent, and inconsistent. It shows how one solution corresponds to two lines intersecting at a single point, infinitely many solutions come from two equations that describe the same line, and no solution occurs when lines are parallel and never intersect. The lesson also emphasizes that a solution must make every equation in the system true and uses graphing with an online calculator to connect the algebraic work to what the graphs look like. Desmos Online Graphing Calculator ➡️ 🎓 I’m Dr. B. I teach math in a clear, steady way that helps close the gap between how many adults learned math and how students learn it today. 🧠 Whether you’re reviewing a skill, supporting your child, or rebuilding confidence, you’ll find explanations that connect the steps to real understanding. ✨ My hope is that each video helps people feel confident in their own understanding, not just in what an AI tool or program can tell them. 💬 Drop any questions in the comments and share with someone who could use the help! Continue the System of Equations & Matrices full lesson series 👉🏽 #SystemsOfEquations #GraphingLinearEquations #equations #DrBTeachesMath #ClosingTheGap #LearningWithColors #MathConfidence #MathHelp