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Solving Systems of Linear Equations by Substitution


A common method for solving systems of linear equations algebraically is called substitution. The general strategy for solving a system of equations by substitution is:

  1. Isolate one variable in one equation.
  2. Substitute the isolated variable’s equivalent expression into the other equation.
  3. Solve the new equation to determine the value of one variable.
  4. Substitute the known value into one of the original equations to determine the value of the other variable.
  5. Verify the solution using the original equations.