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Year 9 Simultaneous Equations Worksheet — Level 2 — Practice Set 4 — Answers

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Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Simultaneous Equations

Year 9 Simultaneous Equations Worksheet — Level 2 — Practice Set 4 — Answers

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

1.Solve simultaneously: 2x + y = −1 and 2x − 4y = −26

Answer: x = −3, y = 5

  1. Subtract equation 2 from equation 1: 5y = 25
  2. y = 5
  3. Substitute into equation 1: 2x + 5 = −1, so x = −3
2.Solve simultaneously: 3x + 3y = 21 and 3x − 4y = −35

Answer: x = −1, y = 8

  1. Subtract equation 2 from equation 1: 7y = 56
  2. y = 8
  3. Substitute into equation 1: 3x + 24 = 21, so x = −1
3.Solve simultaneously: 3x + 2y = 12 and 3x − 4y = 48

Answer: x = 8, y = −6

  1. Subtract equation 2 from equation 1: 6y = −36
  2. y = −6
  3. Substitute into equation 1: 3x − 12 = 12, so x = 8
4.Solve simultaneously: 3x + 3y = 36 and 3x − 4y = 1

Answer: x = 7, y = 5

  1. Subtract equation 2 from equation 1: 7y = 35
  2. y = 5
  3. Substitute into equation 1: 3x + 15 = 36, so x = 7
5.Solve simultaneously: 3x + 2y = 6 and 3x − 3y = 21

Answer: x = 4, y = −3

  1. Subtract equation 2 from equation 1: 5y = −15
  2. y = −3
  3. Substitute into equation 1: 3x − 6 = 6, so x = 4
6.Solve simultaneously: 2x + 2y = 20 and 2x − 4y = 2

Answer: x = 7, y = 3

  1. Subtract equation 2 from equation 1: 6y = 18
  2. y = 3
  3. Substitute into equation 1: 2x + 6 = 20, so x = 7
7.Solve simultaneously: 4x + 4y = 20 and 4x − 5y = −34

Answer: x = −1, y = 6

  1. Subtract equation 2 from equation 1: 9y = 54
  2. y = 6
  3. Substitute into equation 1: 4x + 24 = 20, so x = −1
8.Solve simultaneously: 3x + 4y = 48 and 3x − 5y = −6

Answer: x = 8, y = 6

  1. Subtract equation 2 from equation 1: 9y = 54
  2. y = 6
  3. Substitute into equation 1: 3x + 24 = 48, so x = 8
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