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Year 11 Simultaneous Equations Worksheet — Level 2 — Answers

Answer sheet with worked solutions for the Year 11 simultaneous equations worksheet.

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Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · Simultaneous Equations

Year 11 Simultaneous Equations Worksheet — Level 2 — Answers

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

1.Solve simultaneously: 2x + y = −13 and 2x − 3y = −9

Answer: x = −6, y = −1

  1. Subtract equation 2 from equation 1: 4y = −4
  2. y = −1
  3. Substitute into equation 1: 2x − 1 = −13, so x = −6
2.Solve simultaneously: 4x + 2y = 14 and 4x − 3y = 19

Answer: x = 4, y = −1

  1. Subtract equation 2 from equation 1: 5y = −5
  2. y = −1
  3. Substitute into equation 1: 4x − 2 = 14, so x = 4
3.Solve simultaneously: 2x + 3y = −15 and 2x − 4y = −8

Answer: x = −6, y = −1

  1. Subtract equation 2 from equation 1: 7y = −7
  2. y = −1
  3. Substitute into equation 1: 2x − 3 = −15, so x = −6
4.Solve simultaneously: 3x + y = 13 and 3x − 3y = 21

Answer: x = 5, y = −2

  1. Subtract equation 2 from equation 1: 4y = −8
  2. y = −2
  3. Substitute into equation 1: 3x − 2 = 13, so x = 5
5.Solve simultaneously: 3x + 2y = 13 and 3x − 3y = −12

Answer: x = 1, y = 5

  1. Subtract equation 2 from equation 1: 5y = 25
  2. y = 5
  3. Substitute into equation 1: 3x + 10 = 13, so x = 1
6.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
7.Solve simultaneously: 3x + 2y = 2 and 3x − 3y = 27

Answer: x = 4, y = −5

  1. Subtract equation 2 from equation 1: 5y = −25
  2. y = −5
  3. Substitute into equation 1: 3x − 10 = 2, so x = 4
8.Solve simultaneously: 2x + 2y = 12 and 2x − 3y = −8

Answer: x = 2, y = 4

  1. Subtract equation 2 from equation 1: 5y = 20
  2. y = 4
  3. Substitute into equation 1: 2x + 8 = 12, so x = 2
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