Year 11 Simultaneous Equations Worksheet — Level 1 — Practice Set 2 — 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 2 — Answers
Solve each pair of equations. Check your solution satisfies both equations.
1.Solve simultaneously: x + 2y = 9 and x − 2y = 1
Answer: x = 5, y = 2
- Subtract equation 2 from equation 1: 4y = 8
- y = 2
- Substitute into equation 1: x + 4 = 9, so x = 5
2.Solve simultaneously: x + 4y = −8 and x − 3y = −1
Answer: x = −4, y = −1
- Subtract equation 2 from equation 1: 7y = −7
- y = −1
- Substitute into equation 1: x − 4 = −8, so x = −4
3.Solve simultaneously: x + 2y = 22 and x − 4y = −20
Answer: x = 8, y = 7
- Subtract equation 2 from equation 1: 6y = 42
- y = 7
- Substitute into equation 1: x + 14 = 22, so x = 8
4.Solve simultaneously: x + 4y = −8 and x − 4y = 0
Answer: x = −4, y = −1
- Subtract equation 2 from equation 1: 8y = −8
- y = −1
- Substitute into equation 1: x − 4 = −8, so x = −4
5.Solve simultaneously: x + 2y = 11 and x − 2y = −21
Answer: x = −5, y = 8
- Subtract equation 2 from equation 1: 4y = 32
- y = 8
- Substitute into equation 1: x + 16 = 11, so x = −5
6.Solve simultaneously: x + y = 1 and x − 2y = 13
Answer: x = 5, y = −4
- Subtract equation 2 from equation 1: 3y = −12
- y = −4
- Substitute into equation 1: x − 4 = 1, so x = 5
7.Solve simultaneously: x + 4y = 22 and x − 4y = −26
Answer: x = −2, y = 6
- Subtract equation 2 from equation 1: 8y = 48
- y = 6
- Substitute into equation 1: x + 24 = 22, so x = −2
8.Solve simultaneously: x + 3y = 11 and x − 2y = −14
Answer: x = −4, y = 5
- Subtract equation 2 from equation 1: 5y = 25
- y = 5
- Substitute into equation 1: x + 15 = 11, so x = −4
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.