Systems of Equations – Solving Algebraically

learning_notes

Last updated: 8/16/2025

Key Concepts:

  • Solutions of a System: The point(s) where two equations intersect.
  • Substitution Method: Solve one equation for a variable and substitute into the other equation.
  • Elimination Method: Add or subtract equations to eliminate a variable.

Skills Covered:

  • Solving systems of linear and nonlinear equations
  • Identifying solutions by substituting variables

Example Problems:

  • Solve the system: (y = x^2 + 2); (y = 4x - 3)
  • Solve the system using elimination: (x + y = 6); (x - y = 2)

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