Form 11: Special Cases - Infinitely Many Solutions Exercise

Form 11: Special Cases - Infinitely Many Solutions

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Form 11: Special Cases - Infinitely Many Solutions

Recognize special cases where solving a system of linear equations yields infinitely many solutions.

Questions

  1. MultiChoice

    Solve by substitution: y = 2x + 1 and 4x - 2y = -2.

  2. MultiChoice

    What algebraic outcome in substitution signals infinitely many solutions?

  3. MultiChoice

    Solve by substitution: y = 3x - 2 and 6x - 2y = 4.

  4. MultiChoice

    Solve by substitution: x = 4 - y and 2x + 2y = 8.

  5. MultiChoice

    Solve by substitution: y = -x + 5 and 3x + 3y = 15.

  6. MultiChoice

    Solve by substitution: x = 2y and 3x - 6y = 0.

  7. MultiChoice

    Solve by substitution: y = x - 1 and 5x - 5y = 5.

  8. MultiChoice

    Solve by substitution: y = 0.5x + 2 and x - 2y = -4.

  9. MultiChoice

    Substituting y = 4 - 2x into 4x + 2y = 8 yields 8 = 8. How many solutions exist?

  10. MultiChoice

    Solve by substitution: x = y + 1 and 2x - 2y = 2.

  11. MultiChoice

    Solve by substitution: y = -3x + 2 and 6x + 2y = 4.

  12. MultiChoice

    Solve by substitution: y = x + 3 and 3y - 3x = 9.