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Year 12 Simultaneous Equations Worksheet — Level 2 — Answers

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Success TutoringWorksheetsAnswer sheetYear 12 · Mathematics · Simultaneous Equations

Year 12 Simultaneous Equations Worksheet — Level 2 — Answers

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

1.Solve simultaneously: 3x + 2y = 17 and 3x − 4y = 29

Answer: x = 7, y = −2

  1. Subtract equation 2 from equation 1: 6y = −12
  2. y = −2
  3. Substitute into equation 1: 3x − 4 = 17, so x = 7
2.Solve simultaneously: 4x + 3y = −13 and 4x − 2y = 2

Answer: x = −1, y = −3

  1. Subtract equation 2 from equation 1: 5y = −15
  2. y = −3
  3. Substitute into equation 1: 4x − 9 = −13, so x = −1
3.Solve simultaneously: 3x + y = 25 and 3x − 2y = 13

Answer: x = 7, y = 4

  1. Subtract equation 2 from equation 1: 3y = 12
  2. y = 4
  3. Substitute into equation 1: 3x + 4 = 25, so x = 7
4.Solve simultaneously: 3x + 2y = 28 and 3x − 3y = 18

Answer: x = 8, y = 2

  1. Subtract equation 2 from equation 1: 5y = 10
  2. y = 2
  3. Substitute into equation 1: 3x + 4 = 28, so x = 8
5.Solve simultaneously: 4x + 2y = 32 and 4x − 4y = −4

Answer: x = 5, y = 6

  1. Subtract equation 2 from equation 1: 6y = 36
  2. y = 6
  3. Substitute into equation 1: 4x + 12 = 32, so x = 5
6.Solve simultaneously: 2x + 2y = −8 and 2x − 3y = 22

Answer: x = 2, y = −6

  1. Subtract equation 2 from equation 1: 5y = −30
  2. y = −6
  3. Substitute into equation 1: 2x − 12 = −8, so x = 2
7.Solve simultaneously: 2x + 2y = 0 and 2x − y = 18

Answer: x = 6, y = −6

  1. Subtract equation 2 from equation 1: 3y = −18
  2. y = −6
  3. Substitute into equation 1: 2x − 12 = 0, so x = 6
8.Solve simultaneously: 3x + 3y = 48 and 3x − y = 16

Answer: x = 8, y = 8

  1. Subtract equation 2 from equation 1: 4y = 32
  2. y = 8
  3. Substitute into equation 1: 3x + 24 = 48, so x = 8
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