1.3 Systems of Linear Equations

Solve systems of two or more linear equations using substitution, elimination, and graphical methods.

本节包含的知识点

• 1.3.1 Systems of Linear Equations: Definitions and Classifications — Understand the definition of systems of linear equations and classify them as consistent/inconsistent and dependent/independent.
• 1.3.2 Substitution Method — Solve systems of linear equations by isolating one variable and substituting it into another equation.
• 1.3.3 Elimination Method (Gaussian Elimination) — Solve systems of linear equations by adding, subtracting, or multiplying equations to eliminate variables.
• 1.3.4 Graphical Method — Solve systems of linear equations by graphing lines and identifying their intersection point(s).
• 1.3.5 Solutions and Special Cases — Analyze the nature of solutions including unique solutions, no solutions (parallel lines), and infinite solutions (coincident lines).
• 1.3.6 Systems with Three or More Variables — Extend solving techniques to systems with three or more linear equations and variables.