Chapter Overview
This chapter focuses on solving pairs of linear equations in two variables. Students learn how to graph equations, understand the concept of consistent and inconsistent systems, and apply different methods such as substitution, elimination, and cross-multiplication to find solutions. Applications in real-life word problems are also covered.
Important Keywords
- Linear Equation: An equation that forms a straight line when graphed.
- Variables: Symbols (like x and y) representing unknown quantities.
- Consistent System: A system that has at least one solution.
- Inconsistent System: A system with no solution.
- Dependent System: A system with infinitely many solutions.
- Substitution Method: Solving one equation for one variable and substituting into the other.
- Elimination Method: Adding or subtracting equations to eliminate one variable.
- Cross-Multiplication Method: A method to solve equations of the form ax + by + c = 0.
Detailed Notes
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