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Year 10 Simultaneous Equations Worksheet — Level 2 — Practice Set 2 — Answers

Answer sheet with worked solutions for the Year 10 simultaneous equations worksheet.

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Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Simultaneous Equations

Year 10 Simultaneous Equations Worksheet — Level 2 — Practice Set 2 — Answers

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

1.Solve simultaneously: 4x + 3y = 1 and 4x − 4y = −48

Answer: x = −5, y = 7

  1. Subtract equation 2 from equation 1: 7y = 49
  2. y = 7
  3. Substitute into equation 1: 4x + 21 = 1, so x = −5
2.Solve simultaneously: 3x + 4y = 2 and 3x − 3y = 9

Answer: x = 2, y = −1

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

Answer: x = 3, y = −6

  1. Subtract equation 2 from equation 1: 5y = −30
  2. y = −6
  3. Substitute into equation 1: 2x − 24 = −18, so x = 3
4.Solve simultaneously: 3x + 3y = −6 and 3x − y = 6

Answer: x = 1, y = −3

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

Answer: x = 5, y = 1

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

Answer: x = 6, y = −5

  1. Subtract equation 2 from equation 1: 5y = −25
  2. y = −5
  3. Substitute into equation 1: 2x − 15 = −3, so x = 6
7.Solve simultaneously: 3x + 4y = −21 and 3x − y = −6

Answer: x = −3, y = −3

  1. Subtract equation 2 from equation 1: 5y = −15
  2. y = −3
  3. Substitute into equation 1: 3x − 12 = −21, so x = −3
8.Solve simultaneously: 2x + y = 13 and 2x − 2y = 16

Answer: x = 7, y = −1

  1. Subtract equation 2 from equation 1: 3y = −3
  2. y = −1
  3. Substitute into equation 1: 2x − 1 = 13, so x = 7
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