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Systems of Linear Equations

Section: AlgebraGRE frequency: Very HighPro

1. Core Idea

Two equations, two unknowns. Three methods:

  1. Substitution — best when one variable is already isolated (or easy to isolate).
  2. Elimination — best when coefficients line up or can be matched quickly.
  3. Combination shortcut — the GRE favourite: when the question asks for x + y or x - y, you often get it by adding or subtracting the equations directly, without solving for either variable.

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