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Solve linear systems by substitution

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Learn it Isolate one variable in one equation (pick one with a coefficient of 1), substitute that expression into the other equation, solve, then substitute back to find the other variable.

Example: Solve y = 2x − 1 and 3x + y = 14.

  1. 3x + (2x − 1) = 14 → 5x = 15 → x = 3.
  2. y = 2(3) − 1 = 5.
  3. (3, 5).

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