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 + 2y = −6 and x − y = 9
Answer: x = 4, y = −5
- Subtract equation 2 from equation 1: 3y = −15
- y = −5
- Substitute into equation 1: x − 10 = −6, so x = 4
2.Solve simultaneously: x + y = −4 and x − y = −6
Answer: x = −5, y = 1
- Subtract equation 2 from equation 1: 2y = 2
- y = 1
- Substitute into equation 1: x + 1 = −4, so x = −5
3.Solve simultaneously: x + y = 4 and x − 2y = −14
Answer: x = −2, y = 6
- Subtract equation 2 from equation 1: 3y = 18
- y = 6
- Substitute into equation 1: x + 6 = 4, so x = −2
4.Solve simultaneously: x + 3y = 23 and x − 2y = −2
Answer: x = 8, y = 5
- Subtract equation 2 from equation 1: 5y = 25
- y = 5
- Substitute into equation 1: x + 15 = 23, so x = 8
5.Solve simultaneously: x + y = 13 and x − 2y = −2
Answer: x = 8, y = 5
- Subtract equation 2 from equation 1: 3y = 15
- y = 5
- Substitute into equation 1: x + 5 = 13, so x = 8
6.Solve simultaneously: x + 2y = −7 and x − 4y = 29
Answer: x = 5, y = −6
- Subtract equation 2 from equation 1: 6y = −36
- y = −6
- Substitute into equation 1: x − 12 = −7, so x = 5
7.Solve simultaneously: x + y = −4 and x − y = 2
Answer: x = −1, y = −3
- Subtract equation 2 from equation 1: 2y = −6
- y = −3
- Substitute into equation 1: x − 3 = −4, so x = −1
8.Solve simultaneously: x + 4y = 18 and x − 3y = −3
Answer: x = 6, y = 3
- Subtract equation 2 from equation 1: 7y = 21
- y = 3
- Substitute into equation 1: x + 12 = 18, so x = 6
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.