Year 11 Simultaneous Equations Worksheet — Level 1 — 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 — Answers
Solve each pair of equations. Check your solution satisfies both equations.
1.Solve simultaneously: x + 4y = −2 and x − 4y = −10
Answer: x = −6, y = 1
- Subtract equation 2 from equation 1: 8y = 8
- y = 1
- Substitute into equation 1: x + 4 = −2, so x = −6
2.Solve simultaneously: x + 3y = 22 and x − 2y = −8
Answer: x = 4, y = 6
- Subtract equation 2 from equation 1: 5y = 30
- y = 6
- Substitute into equation 1: x + 18 = 22, so x = 4
3.Solve simultaneously: x + 3y = 12 and x − 4y = −23
Answer: x = −3, y = 5
- Subtract equation 2 from equation 1: 7y = 35
- y = 5
- Substitute into equation 1: x + 15 = 12, so x = −3
4.Solve simultaneously: x + 2y = −9 and x − 3y = 21
Answer: x = 3, y = −6
- Subtract equation 2 from equation 1: 5y = −30
- y = −6
- Substitute into equation 1: x − 12 = −9, so x = 3
5.Solve simultaneously: x + 2y = 5 and x − 2y = 9
Answer: x = 7, y = −1
- Subtract equation 2 from equation 1: 4y = −4
- y = −1
- Substitute into equation 1: x − 2 = 5, so x = 7
6.Solve simultaneously: x + 3y = 25 and x − 2y = −5
Answer: x = 7, y = 6
- Subtract equation 2 from equation 1: 5y = 30
- y = 6
- Substitute into equation 1: x + 18 = 25, so x = 7
7.Solve simultaneously: x + y = −3 and x − 4y = −18
Answer: x = −6, y = 3
- Subtract equation 2 from equation 1: 5y = 15
- y = 3
- Substitute into equation 1: x + 3 = −3, so x = −6
8.Solve simultaneously: x + 4y = 23 and x − y = −12
Answer: x = −5, y = 7
- Subtract equation 2 from equation 1: 5y = 35
- y = 7
- Substitute into equation 1: x + 28 = 23, 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.
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