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 + y = −11 and x − 4y = 14
Answer: x = −6, y = −5
- Subtract equation 2 from equation 1: 5y = −25
- y = −5
- Substitute into equation 1: x − 5 = −11, so x = −6
2.Solve simultaneously: x + 2y = −2 and x − 2y = 18
Answer: x = 8, y = −5
- Subtract equation 2 from equation 1: 4y = −20
- y = −5
- Substitute into equation 1: x − 10 = −2, so x = 8
3.Solve simultaneously: x + 2y = −12 and x − y = 0
Answer: x = −4, y = −4
- Subtract equation 2 from equation 1: 3y = −12
- y = −4
- Substitute into equation 1: x − 8 = −12, so x = −4
4.Solve simultaneously: x + 3y = −21 and x − 2y = 9
Answer: x = −3, y = −6
- Subtract equation 2 from equation 1: 5y = −30
- y = −6
- Substitute into equation 1: x − 18 = −21, so x = −3
5.Solve simultaneously: x + y = 0 and x − 3y = 4
Answer: x = 1, y = −1
- Subtract equation 2 from equation 1: 4y = −4
- y = −1
- Substitute into equation 1: x − 1 = 0, so x = 1
6.Solve simultaneously: x + y = 1 and x − 4y = −34
Answer: x = −6, y = 7
- Subtract equation 2 from equation 1: 5y = 35
- y = 7
- Substitute into equation 1: x + 7 = 1, so x = −6
7.Solve simultaneously: x + y = 0 and x − 3y = 24
Answer: x = 6, y = −6
- Subtract equation 2 from equation 1: 4y = −24
- y = −6
- Substitute into equation 1: x − 6 = 0, so x = 6
8.Solve simultaneously: x + 4y = 35 and x − 2y = −7
Answer: x = 7, y = 7
- Subtract equation 2 from equation 1: 6y = 42
- y = 7
- Substitute into equation 1: x + 28 = 35, so x = 7
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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