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

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Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · Simultaneous Equations

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

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

1.Solve simultaneously: 2x + 3y = −9 and 2x − 4y = −16

Answer: x = −6, y = 1

  1. Subtract equation 2 from equation 1: 7y = 7
  2. y = 1
  3. Substitute into equation 1: 2x + 3 = −9, so x = −6
2.Solve simultaneously: 2x + y = 19 and 2x − 3y = 7

Answer: x = 8, y = 3

  1. Subtract equation 2 from equation 1: 4y = 12
  2. y = 3
  3. Substitute into equation 1: 2x + 3 = 19, so x = 8
3.Solve simultaneously: 4x + y = −23 and 4x − 2y = −26

Answer: x = −6, y = 1

  1. Subtract equation 2 from equation 1: 3y = 3
  2. y = 1
  3. Substitute into equation 1: 4x + 1 = −23, so x = −6
4.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
5.Solve simultaneously: 2x + y = −12 and 2x − 4y = −2

Answer: x = −5, y = −2

  1. Subtract equation 2 from equation 1: 5y = −10
  2. y = −2
  3. Substitute into equation 1: 2x − 2 = −12, so x = −5
6.Solve simultaneously: 2x + 2y = 6 and 2x − 3y = 26

Answer: x = 7, y = −4

  1. Subtract equation 2 from equation 1: 5y = −20
  2. y = −4
  3. Substitute into equation 1: 2x − 8 = 6, so x = 7
7.Solve simultaneously: 4x + 4y = 16 and 4x − y = −19

Answer: x = −3, y = 7

  1. Subtract equation 2 from equation 1: 5y = 35
  2. y = 7
  3. Substitute into equation 1: 4x + 28 = 16, so x = −3
8.Solve simultaneously: 2x + 2y = −14 and 2x − 3y = 1

Answer: x = −4, y = −3

  1. Subtract equation 2 from equation 1: 5y = −15
  2. y = −3
  3. Substitute into equation 1: 2x − 6 = −14, so x = −4
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