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Solve a linear system by substitution

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

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  1. Question 1

    Solve the system: y = −2x + 5 3x − 4y = 24 Type the solution like (2, −1).

    Answer

  2. Question 2

    Solve the system: x = −y − 1 −x + 3y = −23 Type the solution like (2, −1).

    Answer

  3. Question 3

    To solve y = −4x − 2 and −4x − 5y = 7 by substitution, which is the correct next line?

    • A. −4x + 5(−4x − 2) = 7
    • B. −4x − 2 − 5y = 7
    • C. −4x − 5·−4x − 2 = 7
    • D. −4x − 5(−4x − 2) = 7

  4. Question 4

    Solve the system: y = −3x + 7 2x − y = 3 Type the solution like (2, −1).

    Answer

  5. Question 5

    Solve the system: x = 3y + 3 −4x − 5y = −29 Type the solution like (2, −1).

    Answer

  6. Question 6

    To solve y = 4x − 6 and −x − 4y = −13 by substitution, which is the correct next line?

    • A. 4x − 6 − 4y = −13
    • B. −x − 4(4x − 6) = −13
    • C. −x + 4(4x − 6) = −13
    • D. −x − 4·4x − 6 = −13

  7. Question 7

    Solve the system: y = 2x + 2 −5x − y = 5 Type the solution like (2, −1).

    Answer

  8. Question 8

    Solve the system: x = −2y + 17 3x − y = 9 Type the solution like (2, −1).

    Answer

  9. Question 9

    To solve y = x + 2 and 4x − 4y = 4 by substitution, which is the correct next line?

    • A. 4x − 4·x + 2 = 4
    • B. x + 2 − 4y = 4
    • C. 4x − 4(x + 2) = 4
    • D. 4x + 4(x + 2) = 4

  10. Question 10

    Solve the system: y = 3x + 7 −5x + y = 9 Type the solution like (2, −1).

    Answer

  11. Question 11

    Solve the system: x = 3y − 8 −2x − y = −5 Type the solution like (2, −1).

    Answer

  12. Question 12

    To solve y = 3x − 3 and −x − 3y = −11 by substitution, which is the correct next line?

    • A. −x − 3(3x − 3) = −11
    • B. −x − 3·3x − 3 = −11
    • C. −x + 3(3x − 3) = −11
    • D. 3x − 3 − 3y = −11

  13. Question 13

    Solve the system: y = −4x + 23 2x + 3y = 19 Type the solution like (2, −1).

    Answer

  14. Question 14

    Solve the system: x = −y − 5 −x − 2y = 6 Type the solution like (2, −1).

    Answer

  15. Question 15

    To solve y = −2x + 1 and −5x − 4y = 1 by substitution, which is the correct next line?

    • A. −5x + 4(−2x + 1) = 1
    • B. −5x − 4·−2x + 1 = 1
    • C. −5x − 4(−2x + 1) = 1
    • D. −2x + 1 − 4y = 1

  16. Question 16

    Solve the system: y = 4x + 12 −5x + 4y = 15 Type the solution like (2, −1).

    Answer

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  1. (4, −3)
  2. (5, −6)
  3. −4x − 5(−4x − 2) = 7
  4. (2, 1)
  5. (6, 1)
  6. −x − 4(4x − 6) = −13
  7. (−1, 0)
  8. (5, 6)
  9. 4x − 4(x + 2) = 4
  10. (−1, 4)
  11. (1, 3)
  12. −x − 3(3x − 3) = −11
  13. (5, 3)
  14. (−4, −1)
  15. −5x − 4(−2x + 1) = 1
  16. (−3, 0)