Year 11 Simultaneous Equations Worksheet — Level 1 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 11 simultaneous equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · Simultaneous EquationsYear 11 Simultaneous Equations Worksheet — Level 1 — Practice Set 3 — Answers
Solve each pair of equations. Check your solution satisfies both equations.
1.Solve simultaneously: x + y = 3 and x − 4y = −37
Answer: x = −5, y = 8
- Subtract equation 2 from equation 1: 5y = 40
- y = 8
- Substitute into equation 1: x + 8 = 3, so x = −5
2.Solve simultaneously: x + 2y = 9 and x − 3y = −26
Answer: x = −5, y = 7
- Subtract equation 2 from equation 1: 5y = 35
- y = 7
- Substitute into equation 1: x + 14 = 9, so x = −5
3.Solve simultaneously: x + 3y = 6 and x − y = −6
Answer: x = −3, y = 3
- Subtract equation 2 from equation 1: 4y = 12
- y = 3
- Substitute into equation 1: x + 9 = 6, so x = −3
4.Solve simultaneously: x + 4y = 20 and x − y = 0
Answer: x = 4, y = 4
- Subtract equation 2 from equation 1: 5y = 20
- y = 4
- Substitute into equation 1: x + 16 = 20, so x = 4
5.Solve simultaneously: x + 3y = −5 and x − y = 3
Answer: x = 1, y = −2
- Subtract equation 2 from equation 1: 4y = −8
- y = −2
- Substitute into equation 1: x − 6 = −5, so x = 1
6.Solve simultaneously: x + 2y = 5 and x − y = −1
Answer: x = 1, y = 2
- Subtract equation 2 from equation 1: 3y = 6
- y = 2
- Substitute into equation 1: x + 4 = 5, so x = 1
7.Solve simultaneously: x + 2y = −4 and x − y = −1
Answer: x = −2, y = −1
- Subtract equation 2 from equation 1: 3y = −3
- y = −1
- Substitute into equation 1: x − 2 = −4, so x = −2
8.Solve simultaneously: x + 3y = 11 and x − 2y = −4
Answer: x = 2, y = 3
- Subtract equation 2 from equation 1: 5y = 15
- y = 3
- Substitute into equation 1: x + 9 = 11, so x = 2
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.