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Year 9 Simultaneous Equations Worksheet — Level 2 — Practice Set 3 — Answers

Answer sheet with worked solutions for the Year 9 simultaneous equations worksheet.

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Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Simultaneous Equations

Year 9 Simultaneous Equations Worksheet — Level 2 — Practice Set 3 — Answers

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

1.Solve simultaneously: 4x + 4y = 36 and 4x − 5y = −9

Answer: x = 4, y = 5

  1. Subtract equation 2 from equation 1: 9y = 45
  2. y = 5
  3. Substitute into equation 1: 4x + 20 = 36, so x = 4
2.Solve simultaneously: 2x + y = 2 and 2x − 2y = −16

Answer: x = −2, y = 6

  1. Subtract equation 2 from equation 1: 3y = 18
  2. y = 6
  3. Substitute into equation 1: 2x + 6 = 2, so x = −2
3.Solve simultaneously: 3x + y = 7 and 3x − 2y = 22

Answer: x = 4, y = −5

  1. Subtract equation 2 from equation 1: 3y = −15
  2. y = −5
  3. Substitute into equation 1: 3x − 5 = 7, so x = 4
4.Solve simultaneously: 2x + 3y = −19 and 2x − 4y = 16

Answer: x = −2, y = −5

  1. Subtract equation 2 from equation 1: 7y = −35
  2. y = −5
  3. Substitute into equation 1: 2x − 15 = −19, so x = −2
5.Solve simultaneously: 4x + y = 11 and 4x − 3y = −17

Answer: x = 1, y = 7

  1. Subtract equation 2 from equation 1: 4y = 28
  2. y = 7
  3. Substitute into equation 1: 4x + 7 = 11, so x = 1
6.Solve simultaneously: 4x + 2y = −16 and 4x − y = −4

Answer: x = −2, y = −4

  1. Subtract equation 2 from equation 1: 3y = −12
  2. y = −4
  3. Substitute into equation 1: 4x − 8 = −16, so x = −2
7.Solve simultaneously: 3x + y = −18 and 3x − 4y = −3

Answer: x = −5, y = −3

  1. Subtract equation 2 from equation 1: 5y = −15
  2. y = −3
  3. Substitute into equation 1: 3x − 3 = −18, so x = −5
8.Solve simultaneously: 2x + 4y = 12 and 2x − 2y = 6

Answer: x = 4, y = 1

  1. Subtract equation 2 from equation 1: 6y = 6
  2. y = 1
  3. Substitute into equation 1: 2x + 4 = 12, so x = 4
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