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Year 9 Simultaneous Equations Worksheet — Level 1 — Answers

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Year 9 · Mathematics · Simultaneous Equations

Year 9 Simultaneous Equations Worksheet — Level 1 — Answers

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Solve each pair of equations. Check your solution satisfies both equations.

1.Solve simultaneously: x + 4y = 11 and x − 3y = −10

Answer: x = −1, y = 3

  1. Subtract equation 2 from equation 1: 7y = 21
  2. y = 3
  3. Substitute into equation 1: x + 12 = 11, so x = −1
2.Solve simultaneously: x + 3y = −23 and x − 4y = 19

Answer: x = −5, y = −6

  1. Subtract equation 2 from equation 1: 7y = −42
  2. y = −6
  3. Substitute into equation 1: x − 18 = −23, so x = −5
3.Solve simultaneously: x + 2y = 17 and x − 3y = −13

Answer: x = 5, y = 6

  1. Subtract equation 2 from equation 1: 5y = 30
  2. y = 6
  3. Substitute into equation 1: x + 12 = 17, so x = 5
4.Solve simultaneously: x + y = −2 and x − y = −6

Answer: x = −4, y = 2

  1. Subtract equation 2 from equation 1: 2y = 4
  2. y = 2
  3. Substitute into equation 1: x + 2 = −2, so x = −4
5.Solve simultaneously: x + 4y = 26 and x − 3y = −23

Answer: x = −2, y = 7

  1. Subtract equation 2 from equation 1: 7y = 49
  2. y = 7
  3. Substitute into equation 1: x + 28 = 26, so x = −2
6.Solve simultaneously: x + 2y = −9 and x − 3y = 16

Answer: x = 1, y = −5

  1. Subtract equation 2 from equation 1: 5y = −25
  2. y = −5
  3. Substitute into equation 1: x − 10 = −9, so x = 1
7.Solve simultaneously: x + 3y = 18 and x − 4y = −38

Answer: x = −6, y = 8

  1. Subtract equation 2 from equation 1: 7y = 56
  2. y = 8
  3. Substitute into equation 1: x + 24 = 18, so x = −6
8.Solve simultaneously: x + 4y = −5 and x − y = 5

Answer: x = 3, y = −2

  1. Subtract equation 2 from equation 1: 5y = −10
  2. y = −2
  3. Substitute into equation 1: x − 8 = −5, so x = 3
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