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Year 9 Simultaneous Equations Worksheet — Level 2 — Practice Set 2 — Answers

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Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Simultaneous Equations

Year 9 Simultaneous Equations Worksheet — Level 2 — Practice Set 2 — Answers

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

1.Solve simultaneously: 2x + y = 4 and 2x − 3y = −4

Answer: x = 1, y = 2

  1. Subtract equation 2 from equation 1: 4y = 8
  2. y = 2
  3. Substitute into equation 1: 2x + 2 = 4, so x = 1
2.Solve simultaneously: 4x + 3y = −38 and 4x − 2y = −8

Answer: x = −5, y = −6

  1. Subtract equation 2 from equation 1: 5y = −30
  2. y = −6
  3. Substitute into equation 1: 4x − 18 = −38, so x = −5
3.Solve simultaneously: 3x + 2y = 0 and 3x − 3y = −30

Answer: x = −4, y = 6

  1. Subtract equation 2 from equation 1: 5y = 30
  2. y = 6
  3. Substitute into equation 1: 3x + 12 = 0, so x = −4
4.Solve simultaneously: 4x + y = 14 and 4x − 2y = 20

Answer: x = 4, y = −2

  1. Subtract equation 2 from equation 1: 3y = −6
  2. y = −2
  3. Substitute into equation 1: 4x − 2 = 14, so x = 4
5.Solve simultaneously: 2x + 3y = 30 and 2x − 2y = −10

Answer: x = 3, y = 8

  1. Subtract equation 2 from equation 1: 5y = 40
  2. y = 8
  3. Substitute into equation 1: 2x + 24 = 30, so x = 3
6.Solve simultaneously: 3x + 2y = 8 and 3x − 3y = 33

Answer: x = 6, y = −5

  1. Subtract equation 2 from equation 1: 5y = −25
  2. y = −5
  3. Substitute into equation 1: 3x − 10 = 8, so x = 6
7.Solve simultaneously: 2x + y = 0 and 2x − 3y = −8

Answer: x = −1, y = 2

  1. Subtract equation 2 from equation 1: 4y = 8
  2. y = 2
  3. Substitute into equation 1: 2x + 2 = 0, so x = −1
8.Solve simultaneously: 2x + 4y = 16 and 2x − 5y = 7

Answer: x = 6, y = 1

  1. Subtract equation 2 from equation 1: 9y = 9
  2. y = 1
  3. Substitute into equation 1: 2x + 4 = 16, so x = 6
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