Success TutoringWorksheets

Year 9 Simultaneous Equations Worksheet — Level 2 — Practice Set 4 — Answers

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

Download answers PDFPrint answersBack to worksheet
Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Simultaneous Equations

Year 9 Simultaneous Equations Worksheet — Level 2 — Practice Set 4 — Answers

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

1.Solve simultaneously: 3x + y = −2 and 3x − 4y = 23

Answer: x = 1, y = −5

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

Answer: x = 3, y = 4

  1. Subtract equation 2 from equation 1: 6y = 24
  2. y = 4
  3. Substitute into equation 1: 2x + 16 = 22, so x = 3
3.Solve simultaneously: 3x + 4y = 7 and 3x − 2y = 19

Answer: x = 5, y = −2

  1. Subtract equation 2 from equation 1: 6y = −12
  2. y = −2
  3. Substitute into equation 1: 3x − 8 = 7, so x = 5
4.Solve simultaneously: 2x + 4y = 0 and 2x − y = 5

Answer: x = 2, y = −1

  1. Subtract equation 2 from equation 1: 5y = −5
  2. y = −1
  3. Substitute into equation 1: 2x − 4 = 0, so x = 2
5.Solve simultaneously: 2x + y = −1 and 2x − 4y = −16

Answer: x = −2, y = 3

  1. Subtract equation 2 from equation 1: 5y = 15
  2. y = 3
  3. Substitute into equation 1: 2x + 3 = −1, so x = −2
6.Solve simultaneously: 4x + 4y = −4 and 4x − 5y = −49

Answer: x = −6, y = 5

  1. Subtract equation 2 from equation 1: 9y = 45
  2. y = 5
  3. Substitute into equation 1: 4x + 20 = −4, so x = −6
7.Solve simultaneously: 4x + 4y = 4 and 4x − 3y = 32

Answer: x = 5, y = −4

  1. Subtract equation 2 from equation 1: 7y = −28
  2. y = −4
  3. Substitute into equation 1: 4x − 16 = 4, so x = 5
8.Solve simultaneously: 3x + y = −14 and 3x − 4y = −4

Answer: x = −4, y = −2

  1. Subtract equation 2 from equation 1: 5y = −10
  2. y = −2
  3. Substitute into equation 1: 3x − 2 = −14, so x = −4
Free worksheets at worksheets.successtutoring.com · © Success Tutoring · Free for personal and classroom use

Marking tips

  • Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
  • For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
  • Celebrate what went well first, then pick one thing to work on next.

Great work. Here's what to try next: