Year 11 Simultaneous Equations Worksheet — Level 1 — Practice Set 4 — 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 4 — Answers
Solve each pair of equations. Check your solution satisfies both equations.
1.Solve simultaneously: x + 2y = −10 and x − 2y = 14
Answer: x = 2, y = −6
- Subtract equation 2 from equation 1: 4y = −24
- y = −6
- Substitute into equation 1: x − 12 = −10, so x = 2
2.Solve simultaneously: x + 3y = −13 and x − 4y = 29
Answer: x = 5, y = −6
- Subtract equation 2 from equation 1: 7y = −42
- y = −6
- Substitute into equation 1: x − 18 = −13, so x = 5
3.Solve simultaneously: x + y = −3 and x − 2y = −12
Answer: x = −6, y = 3
- Subtract equation 2 from equation 1: 3y = 9
- y = 3
- Substitute into equation 1: x + 3 = −3, so x = −6
4.Solve simultaneously: x + y = 11 and x − y = 1
Answer: x = 6, y = 5
- Subtract equation 2 from equation 1: 2y = 10
- y = 5
- Substitute into equation 1: x + 5 = 11, so x = 6
5.Solve simultaneously: x + y = 7 and x − 4y = −3
Answer: x = 5, y = 2
- Subtract equation 2 from equation 1: 5y = 10
- y = 2
- Substitute into equation 1: x + 2 = 7, so x = 5
6.Solve simultaneously: x + y = −4 and x − 2y = 5
Answer: x = −1, y = −3
- Subtract equation 2 from equation 1: 3y = −9
- y = −3
- Substitute into equation 1: x − 3 = −4, so x = −1
7.Solve simultaneously: x + 3y = 27 and x − 3y = −15
Answer: x = 6, y = 7
- Subtract equation 2 from equation 1: 6y = 42
- y = 7
- Substitute into equation 1: x + 21 = 27, so x = 6
8.Solve simultaneously: x + 3y = 23 and x − 3y = −19
Answer: x = 2, y = 7
- Subtract equation 2 from equation 1: 6y = 42
- y = 7
- Substitute into equation 1: x + 21 = 23, 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.
- Celebrate what went well first, then pick one thing to work on next.