Year 11 Simultaneous Equations Worksheet — Level 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 — Answers
Solve each pair of equations. Check your solution satisfies both equations.
1.Solve simultaneously: 2x + y = 9 and 2x − 2y = −12
Answer: x = 1, y = 7
- Subtract equation 2 from equation 1: 3y = 21
- y = 7
- Substitute into equation 1: 2x + 7 = 9, so x = 1
2.Solve simultaneously: 2x + y = 8 and 2x − 2y = 2
Answer: x = 3, y = 2
- Subtract equation 2 from equation 1: 3y = 6
- y = 2
- Substitute into equation 1: 2x + 2 = 8, so x = 3
3.Solve simultaneously: 2x + 4y = −16 and 2x − y = 14
Answer: x = 4, y = −6
- Subtract equation 2 from equation 1: 5y = −30
- y = −6
- Substitute into equation 1: 2x − 24 = −16, so x = 4
4.Solve simultaneously: 2x + 2y = 4 and 2x − 3y = −36
Answer: x = −6, y = 8
- Subtract equation 2 from equation 1: 5y = 40
- y = 8
- Substitute into equation 1: 2x + 16 = 4, so x = −6
5.Solve simultaneously: 4x + 3y = −18 and 4x − 2y = −8
Answer: x = −3, y = −2
- Subtract equation 2 from equation 1: 5y = −10
- y = −2
- Substitute into equation 1: 4x − 6 = −18, so x = −3
6.Solve simultaneously: 4x + 2y = 8 and 4x − y = 2
Answer: x = 1, y = 2
- Subtract equation 2 from equation 1: 3y = 6
- y = 2
- Substitute into equation 1: 4x + 4 = 8, so x = 1
7.Solve simultaneously: 3x + y = −11 and 3x − 3y = −3
Answer: x = −3, y = −2
- Subtract equation 2 from equation 1: 4y = −8
- y = −2
- Substitute into equation 1: 3x − 2 = −11, so x = −3
8.Solve simultaneously: 3x + y = −5 and 3x − 2y = −8
Answer: x = −2, y = 1
- Subtract equation 2 from equation 1: 3y = 3
- y = 1
- Substitute into equation 1: 3x + 1 = −5, so x = −2
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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