Year 11 Simultaneous Equations Worksheet — Level 2 — 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 2 — Practice Set 2 — Answers
Solve each pair of equations. Check your solution satisfies both equations.
1.Solve simultaneously: 4x + 2y = −28 and 4x − 3y = −8
Answer: x = −5, y = −4
- Subtract equation 2 from equation 1: 5y = −20
- y = −4
- Substitute into equation 1: 4x − 8 = −28, so x = −5
2.Solve simultaneously: 2x + 3y = 15 and 2x − 2y = −20
Answer: x = −3, y = 7
- Subtract equation 2 from equation 1: 5y = 35
- y = 7
- Substitute into equation 1: 2x + 21 = 15, so x = −3
3.Solve simultaneously: 4x + 3y = −6 and 4x − 4y = −48
Answer: x = −6, y = 6
- Subtract equation 2 from equation 1: 7y = 42
- y = 6
- Substitute into equation 1: 4x + 18 = −6, so x = −6
4.Solve simultaneously: 3x + 3y = −12 and 3x − y = −16
Answer: x = −5, y = 1
- Subtract equation 2 from equation 1: 4y = 4
- y = 1
- Substitute into equation 1: 3x + 3 = −12, so x = −5
5.Solve simultaneously: 4x + 4y = 56 and 4x − y = 26
Answer: x = 8, y = 6
- Subtract equation 2 from equation 1: 5y = 30
- y = 6
- Substitute into equation 1: 4x + 24 = 56, so x = 8
6.Solve simultaneously: 3x + y = −14 and 3x − 2y = −8
Answer: x = −4, y = −2
- Subtract equation 2 from equation 1: 3y = −6
- y = −2
- Substitute into equation 1: 3x − 2 = −14, so x = −4
7.Solve simultaneously: 2x + 3y = 13 and 2x − 4y = −22
Answer: x = −1, y = 5
- Subtract equation 2 from equation 1: 7y = 35
- y = 5
- Substitute into equation 1: 2x + 15 = 13, so x = −1
8.Solve simultaneously: 3x + 2y = 17 and 3x − 4y = 11
Answer: x = 5, y = 1
- Subtract equation 2 from equation 1: 6y = 6
- y = 1
- Substitute into equation 1: 3x + 2 = 17, so x = 5
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.