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

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Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Simultaneous Equations

Year 9 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 = 16 and 2x − 4y = −40

Answer: x = −4, y = 8

  1. Subtract equation 2 from equation 1: 7y = 56
  2. y = 8
  3. Substitute into equation 1: 2x + 24 = 16, so x = −4
2.Solve simultaneously: 3x + 3y = 18 and 3x − 4y = 4

Answer: x = 4, y = 2

  1. Subtract equation 2 from equation 1: 7y = 14
  2. y = 2
  3. Substitute into equation 1: 3x + 6 = 18, so x = 4
3.Solve simultaneously: 3x + 2y = 26 and 3x − y = 23

Answer: x = 8, y = 1

  1. Subtract equation 2 from equation 1: 3y = 3
  2. y = 1
  3. Substitute into equation 1: 3x + 2 = 26, so x = 8
4.Solve simultaneously: 4x + 4y = 12 and 4x − 5y = 39

Answer: x = 6, y = −3

  1. Subtract equation 2 from equation 1: 9y = −27
  2. y = −3
  3. Substitute into equation 1: 4x − 12 = 12, so x = 6
5.Solve simultaneously: 3x + 4y = 29 and 3x − 3y = 15

Answer: x = 7, y = 2

  1. Subtract equation 2 from equation 1: 7y = 14
  2. y = 2
  3. Substitute into equation 1: 3x + 8 = 29, so x = 7
6.Solve simultaneously: 2x + 2y = 16 and 2x − 3y = −14

Answer: x = 2, y = 6

  1. Subtract equation 2 from equation 1: 5y = 30
  2. y = 6
  3. Substitute into equation 1: 2x + 12 = 16, so x = 2
7.Solve simultaneously: 2x + 3y = 3 and 2x − y = −17

Answer: x = −6, y = 5

  1. Subtract equation 2 from equation 1: 4y = 20
  2. y = 5
  3. Substitute into equation 1: 2x + 15 = 3, so x = −6
8.Solve simultaneously: 4x + y = −7 and 4x − 2y = 2

Answer: x = −1, y = −3

  1. Subtract equation 2 from equation 1: 3y = −9
  2. y = −3
  3. Substitute into equation 1: 4x − 3 = −7, so x = −1
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