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Solving Simultaneous Equations Graphically

Algebra and Graphs Solving Simultaneous Equations Graphically

🎬 Video Tutorial

(0:12) Setting Up Equations from Word Problems: Define variables for unknowns and write equations based on relationships, e.g., $x + y = 20$ and $x – y = 10$.
(0:53) Solving Systems of Linear Equations Graphically: Learn to find solutions by plotting linear equations to identify points of intersection.
(2:08) Types of Solutions for Systems of Equations: Understand when systems have one solution (intersecting lines), no solution (parallel lines), or infinitely many solutions (overlapping lines).

📂 Revision Cards

System of linear equations representing Sebastian's and Sarah's ages with equations x + y = 20 and x - y = 10. — 1) Simultaneous Equations

Solving a system of equations graphically, transforming and plotting the equations y = -x + 20 and y = x - 10 to find their intersection at (15, 5). — 2) Simultaneous Equations Graphically Solved

Three graphical linear equations showing one solution (intersection), no solution (parallel lines), and infinite solutions (overlapping lines). — 3) Possible Solutions in Simultaneous Equations

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