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Algebra I Recipe: Solving Systems of Linear Equations Using the Substitution Method
Substitution Method
  1. Solve one of the equations for the variable that has a 1 or -1 as a coefficient so you don’t get fractions.
  2. Substitute the algebraic expression into the other equation for its variable.
  3. Solve the equation for the like variable.
  4. Substitute the value found in step 3 into the algebraic expression to find the value of the other variable.
  5. When solving the equation in step 3 – if the variable terms cancel out on both sides:
    • The answer is IMS, if a true statement remains.
    • The answer is NO SOLUTION, if a false statement remains.
3x + 5y = 2
  x + 4y = -4

x - 2y = 3
2x - 4y = 7

G Redden

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