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Year 10 Simultaneous Equations Worksheet — Level 2 — Practice Set 3 — Answers

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Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Simultaneous Equations

Year 10 Simultaneous Equations Worksheet — Level 2 — Practice Set 3 — Answers

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

1.Solve simultaneously: 2x + y = −7 and 2x − 3y = 13

Answer: x = −1, y = −5

  1. Subtract equation 2 from equation 1: 4y = −20
  2. y = −5
  3. Substitute into equation 1: 2x − 5 = −7, so x = −1
2.Solve simultaneously: 3x + 2y = −10 and 3x − 3y = −15

Answer: x = −4, y = 1

  1. Subtract equation 2 from equation 1: 5y = 5
  2. y = 1
  3. Substitute into equation 1: 3x + 2 = −10, so x = −4
3.Solve simultaneously: 4x + 2y = 0 and 4x − 3y = 30

Answer: x = 3, y = −6

  1. Subtract equation 2 from equation 1: 5y = −30
  2. y = −6
  3. Substitute into equation 1: 4x − 12 = 0, so x = 3
4.Solve simultaneously: 4x + 2y = 26 and 4x − 3y = 11

Answer: x = 5, y = 3

  1. Subtract equation 2 from equation 1: 5y = 15
  2. y = 3
  3. Substitute into equation 1: 4x + 6 = 26, so x = 5
5.Solve simultaneously: 2x + y = 22 and 2x − 4y = −8

Answer: x = 8, y = 6

  1. Subtract equation 2 from equation 1: 5y = 30
  2. y = 6
  3. Substitute into equation 1: 2x + 6 = 22, so x = 8
6.Solve simultaneously: 2x + 3y = −25 and 2x − 4y = 10

Answer: x = −5, y = −5

  1. Subtract equation 2 from equation 1: 7y = −35
  2. y = −5
  3. Substitute into equation 1: 2x − 15 = −25, so x = −5
7.Solve simultaneously: 4x + 2y = 20 and 4x − 4y = 8

Answer: x = 4, y = 2

  1. Subtract equation 2 from equation 1: 6y = 12
  2. y = 2
  3. Substitute into equation 1: 4x + 4 = 20, so x = 4
8.Solve simultaneously: 4x + y = 31 and 4x − 4y = 16

Answer: x = 7, y = 3

  1. Subtract equation 2 from equation 1: 5y = 15
  2. y = 3
  3. Substitute into equation 1: 4x + 3 = 31, so x = 7
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