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 + y = 10 and x − 3y = −2
Answer: x = 7, y = 3
- Subtract equation 2 from equation 1: 4y = 12
- y = 3
- Substitute into equation 1: x + 3 = 10, so x = 7
2.Solve simultaneously: x + y = −9 and x − 2y = 3
Answer: x = −5, y = −4
- Subtract equation 2 from equation 1: 3y = −12
- y = −4
- Substitute into equation 1: x − 4 = −9, so x = −5
3.Solve simultaneously: x + y = −1 and x − 3y = 19
Answer: x = 4, y = −5
- Subtract equation 2 from equation 1: 4y = −20
- y = −5
- Substitute into equation 1: x − 5 = −1, so x = 4
4.Solve simultaneously: x + 2y = −2 and x − 4y = −14
Answer: x = −6, y = 2
- Subtract equation 2 from equation 1: 6y = 12
- y = 2
- Substitute into equation 1: x + 4 = −2, so x = −6
5.Solve simultaneously: x + 4y = 24 and x − y = −1
Answer: x = 4, y = 5
- Subtract equation 2 from equation 1: 5y = 25
- y = 5
- Substitute into equation 1: x + 20 = 24, so x = 4
6.Solve simultaneously: x + 4y = 26 and x − 4y = −30
Answer: x = −2, y = 7
- Subtract equation 2 from equation 1: 8y = 56
- y = 7
- Substitute into equation 1: x + 28 = 26, so x = −2
7.Solve simultaneously: x + 2y = −4 and x − y = 5
Answer: x = 2, y = −3
- Subtract equation 2 from equation 1: 3y = −9
- y = −3
- Substitute into equation 1: x − 6 = −4, so x = 2
8.Solve simultaneously: x + 2y = 8 and x − 3y = −2
Answer: x = 4, y = 2
- Subtract equation 2 from equation 1: 5y = 10
- y = 2
- Substitute into equation 1: x + 4 = 8, 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.
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