Success TutoringWorksheets

Year 9 Simultaneous Equations Worksheet — Level 2 — 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 — Answers

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

1.Solve simultaneously: 4x + 3y = 30 and 4x − 4y = −12

Answer: x = 3, y = 6

  1. Subtract equation 2 from equation 1: 7y = 42
  2. y = 6
  3. Substitute into equation 1: 4x + 18 = 30, so x = 3
2.Solve simultaneously: 2x + 4y = −8 and 2x − 5y = −17

Answer: x = −6, y = 1

  1. Subtract equation 2 from equation 1: 9y = 9
  2. y = 1
  3. Substitute into equation 1: 2x + 4 = −8, so x = −6
3.Solve simultaneously: 3x + 2y = −15 and 3x − y = 3

Answer: x = −1, y = −6

  1. Subtract equation 2 from equation 1: 3y = −18
  2. y = −6
  3. Substitute into equation 1: 3x − 12 = −15, so x = −1
4.Solve simultaneously: 2x + y = −1 and 2x − 4y = 24

Answer: x = 2, y = −5

  1. Subtract equation 2 from equation 1: 5y = −25
  2. y = −5
  3. Substitute into equation 1: 2x − 5 = −1, so x = 2
5.Solve simultaneously: 3x + 3y = 3 and 3x − 4y = −39

Answer: x = −5, y = 6

  1. Subtract equation 2 from equation 1: 7y = 42
  2. y = 6
  3. Substitute into equation 1: 3x + 18 = 3, so x = −5
6.Solve simultaneously: 2x + 3y = −19 and 2x − 2y = −4

Answer: x = −5, y = −3

  1. Subtract equation 2 from equation 1: 5y = −15
  2. y = −3
  3. Substitute into equation 1: 2x − 9 = −19, so x = −5
7.Solve simultaneously: 2x + 3y = 10 and 2x − 2y = −20

Answer: x = −4, y = 6

  1. Subtract equation 2 from equation 1: 5y = 30
  2. y = 6
  3. Substitute into equation 1: 2x + 18 = 10, so x = −4
8.Solve simultaneously: 3x + 3y = 9 and 3x − y = 1

Answer: x = 1, y = 2

  1. Subtract equation 2 from equation 1: 4y = 8
  2. y = 2
  3. Substitute into equation 1: 3x + 6 = 9, so x = 1
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: