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Solve a linear system by scaling equations before eliminating

9th grade (Year 10 in England) Β· 16 questions Β· Common Core: HSA.REI.C.5, HSA.REI.C.6 Β· England: GCSE Higher Algebra

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  1. Question 1

    Solve: 3x βˆ’ 4y = βˆ’32 βˆ’5x βˆ’ 8y = βˆ’20 Type the solution like (2, βˆ’1).

    Answer

  2. Question 2

    Solve: 2x βˆ’ 4y = βˆ’6 6x βˆ’ 3y = 9 Type the solution like (2, βˆ’1).

    Answer

  3. Question 3

    Solve: 2x + y = 2 βˆ’2x + 2y = βˆ’2 Type the solution like (2, βˆ’1).

    Answer

  4. Question 4

    Solve: 6x + 6y = βˆ’30 3x + 5y = βˆ’21 Type the solution like (2, βˆ’1).

    Answer

  5. Question 5

    Solve: 3x βˆ’ y = βˆ’9 x βˆ’ 2y = 2 Type the solution like (2, βˆ’1).

    Answer

  6. Question 6

    Solve: 3x βˆ’ 4y = βˆ’8 5x βˆ’ 3y = 5 Type the solution like (2, βˆ’1).

    Answer

  7. Question 7

    Solve: 3x + y = βˆ’12 3x + 3y = βˆ’18 Type the solution like (2, βˆ’1).

    Answer

  8. Question 8

    Solve: 6x + 2y = 14 2x βˆ’ 4y = 28 Type the solution like (2, βˆ’1).

    Answer

  9. Question 9

    Solve: 2x βˆ’ 4y = 26 βˆ’4x βˆ’ 8y = 28 Type the solution like (2, βˆ’1).

    Answer

  10. Question 10

    Solve: 4x + 3y = 28 2x βˆ’ 4y = βˆ’8 Type the solution like (2, βˆ’1).

    Answer

  11. Question 11

    Solve: 2x βˆ’ 2y = βˆ’4 βˆ’3x βˆ’ 4y = βˆ’15 Type the solution like (2, βˆ’1).

    Answer

  12. Question 12

    Solve: 4x βˆ’ 3y = βˆ’19 2x + 2y = βˆ’6 Type the solution like (2, βˆ’1).

    Answer

  13. Question 13

    Solve: 3x βˆ’ 2y = βˆ’8 4x βˆ’ 4y = βˆ’16 Type the solution like (2, βˆ’1).

    Answer

  14. Question 14

    Solve: 2x βˆ’ 6y = 28 5x βˆ’ 3y = 10 Type the solution like (2, βˆ’1).

    Answer

  15. Question 15

    Solve: 3x βˆ’ y = βˆ’12 βˆ’5x βˆ’ 3y = 34 Type the solution like (2, βˆ’1).

    Answer

  16. Question 16

    Solve: 2x + 2y = 4 6x + 3y = 12 Type the solution like (2, βˆ’1).

    Answer

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Answer key: Solve a linear system by scaling equations before eliminating

  1. 1. (βˆ’4, 5)

  2. 2. (3, 3)

  3. 3. (1, 0)

  4. 4. (βˆ’2, βˆ’3)

  5. 5. (βˆ’4, βˆ’3)

  6. 6. (4, 5)

  7. 7. (βˆ’3, βˆ’3)

  8. 8. (4, βˆ’5)

  9. 9. (3, βˆ’5)

  10. 10. (4, 4)

  11. 11. (1, 3)

  12. 12. (βˆ’4, 1)

  13. 13. (0, 4)

  14. 14. (βˆ’1, βˆ’5)

  15. 15. (βˆ’5, βˆ’3)

  16. 16. (2, 0)