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 + 2y = 0 and x − y = −6
Answer: x = −4, y = 2
- Subtract equation 2 from equation 1: 3y = 6
- y = 2
- Substitute into equation 1: x + 4 = 0, so x = −4
2.Solve simultaneously: x + 2y = 10 and x − 2y = 6
Answer: x = 8, y = 1
- Subtract equation 2 from equation 1: 4y = 4
- y = 1
- Substitute into equation 1: x + 2 = 10, so x = 8
3.Solve simultaneously: x + y = −7 and x − 3y = 9
Answer: x = −3, y = −4
- Subtract equation 2 from equation 1: 4y = −16
- y = −4
- Substitute into equation 1: x − 4 = −7, so x = −3
4.Solve simultaneously: x + y = 11 and x − 3y = −21
Answer: x = 3, y = 8
- Subtract equation 2 from equation 1: 4y = 32
- y = 8
- Substitute into equation 1: x + 8 = 11, so x = 3
5.Solve simultaneously: x + 3y = −19 and x − 3y = 17
Answer: x = −1, y = −6
- Subtract equation 2 from equation 1: 6y = −36
- y = −6
- Substitute into equation 1: x − 18 = −19, so x = −1
6.Solve simultaneously: x + y = −1 and x − y = −9
Answer: x = −5, y = 4
- Subtract equation 2 from equation 1: 2y = 8
- y = 4
- Substitute into equation 1: x + 4 = −1, so x = −5
7.Solve simultaneously: x + y = 1 and x − 3y = −23
Answer: x = −5, y = 6
- Subtract equation 2 from equation 1: 4y = 24
- y = 6
- Substitute into equation 1: x + 6 = 1, so x = −5
8.Solve simultaneously: x + 4y = −10 and x − 3y = 18
Answer: x = 6, y = −4
- Subtract equation 2 from equation 1: 7y = −28
- y = −4
- Substitute into equation 1: x − 16 = −10, so x = 6
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.