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Year 11 Simultaneous Equations Worksheet — Level 2 — Practice Set 4 — Answers

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Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · Simultaneous Equations

Year 11 Simultaneous Equations Worksheet — Level 2 — Practice Set 4 — Answers

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

1.Solve simultaneously: 3x + 4y = 0 and 3x − y = 30

Answer: x = 8, y = −6

  1. Subtract equation 2 from equation 1: 5y = −30
  2. y = −6
  3. Substitute into equation 1: 3x − 24 = 0, so x = 8
2.Solve simultaneously: 4x + 4y = 0 and 4x − y = 20

Answer: x = 4, y = −4

  1. Subtract equation 2 from equation 1: 5y = −20
  2. y = −4
  3. Substitute into equation 1: 4x − 16 = 0, so x = 4
3.Solve simultaneously: 3x + 2y = −4 and 3x − 3y = −39

Answer: x = −6, y = 7

  1. Subtract equation 2 from equation 1: 5y = 35
  2. y = 7
  3. Substitute into equation 1: 3x + 14 = −4, so x = −6
4.Solve simultaneously: 3x + 3y = −3 and 3x − 4y = 11

Answer: x = 1, y = −2

  1. Subtract equation 2 from equation 1: 7y = −14
  2. y = −2
  3. Substitute into equation 1: 3x − 6 = −3, so x = 1
5.Solve simultaneously: 2x + 3y = −10 and 2x − 4y = 18

Answer: x = 1, y = −4

  1. Subtract equation 2 from equation 1: 7y = −28
  2. y = −4
  3. Substitute into equation 1: 2x − 12 = −10, so x = 1
6.Solve simultaneously: 3x + 2y = 14 and 3x − 3y = 9

Answer: x = 4, y = 1

  1. Subtract equation 2 from equation 1: 5y = 5
  2. y = 1
  3. Substitute into equation 1: 3x + 2 = 14, so x = 4
7.Solve simultaneously: 3x + 4y = −28 and 3x − 3y = 0

Answer: x = −4, y = −4

  1. Subtract equation 2 from equation 1: 7y = −28
  2. y = −4
  3. Substitute into equation 1: 3x − 16 = −28, so x = −4
8.Solve simultaneously: 3x + 2y = 33 and 3x − 4y = −3

Answer: x = 7, y = 6

  1. Subtract equation 2 from equation 1: 6y = 36
  2. y = 6
  3. Substitute into equation 1: 3x + 12 = 33, so x = 7
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