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Year 10 Simultaneous Equations Worksheet — Level 2 — Practice Set 4 — Answers

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Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Simultaneous Equations

Year 10 Simultaneous Equations Worksheet — Level 2 — Practice Set 4 — Answers

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

1.Solve simultaneously: 4x + 3y = 17 and 4x − y = −11

Answer: x = −1, y = 7

  1. Subtract equation 2 from equation 1: 4y = 28
  2. y = 7
  3. Substitute into equation 1: 4x + 21 = 17, so x = −1
2.Solve simultaneously: 2x + y = 0 and 2x − 4y = 10

Answer: x = 1, y = −2

  1. Subtract equation 2 from equation 1: 5y = −10
  2. y = −2
  3. Substitute into equation 1: 2x − 2 = 0, so x = 1
3.Solve simultaneously: 3x + 3y = 12 and 3x − 4y = 40

Answer: x = 8, y = −4

  1. Subtract equation 2 from equation 1: 7y = −28
  2. y = −4
  3. Substitute into equation 1: 3x − 12 = 12, so x = 8
4.Solve simultaneously: 3x + y = −15 and 3x − 4y = 15

Answer: x = −3, y = −6

  1. Subtract equation 2 from equation 1: 5y = −30
  2. y = −6
  3. Substitute into equation 1: 3x − 6 = −15, so x = −3
5.Solve simultaneously: 2x + 2y = 12 and 2x − 3y = −3

Answer: x = 3, y = 3

  1. Subtract equation 2 from equation 1: 5y = 15
  2. y = 3
  3. Substitute into equation 1: 2x + 6 = 12, so x = 3
6.Solve simultaneously: 2x + 2y = 12 and 2x − 3y = −13

Answer: x = 1, y = 5

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

Answer: x = 1, y = 6

  1. Subtract equation 2 from equation 1: 3y = 18
  2. y = 6
  3. Substitute into equation 1: 4x + 6 = 10, so x = 1
8.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
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