Year 9 Simultaneous Equations Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the Year 9 simultaneous equations worksheet.
Year 9 · Mathematics · Simultaneous Equations
Year 9 Simultaneous Equations Worksheet — Level 1 — Answers
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Solve each pair of equations. Check your solution satisfies both equations.
1.Solve simultaneously: x + 2y = −7 and x − 2y = 1
Answer: x = −3, y = −2
- Subtract equation 2 from equation 1: 4y = −8
- y = −2
- Substitute into equation 1: x − 4 = −7, so x = −3
2.Solve simultaneously: x + 3y = −1 and x − 2y = 14
Answer: x = 8, y = −3
- Subtract equation 2 from equation 1: 5y = −15
- y = −3
- Substitute into equation 1: x − 9 = −1, so x = 8
3.Solve simultaneously: x + 2y = 1 and x − 2y = 5
Answer: x = 3, y = −1
- Subtract equation 2 from equation 1: 4y = −4
- y = −1
- Substitute into equation 1: x − 2 = 1, so x = 3
4.Solve simultaneously: x + 2y = 3 and x − 2y = 7
Answer: x = 5, y = −1
- Subtract equation 2 from equation 1: 4y = −4
- y = −1
- Substitute into equation 1: x − 2 = 3, so x = 5
5.Solve simultaneously: x + 2y = 7 and x − 2y = −1
Answer: x = 3, y = 2
- Subtract equation 2 from equation 1: 4y = 8
- y = 2
- Substitute into equation 1: x + 4 = 7, so x = 3
6.Solve simultaneously: x + 3y = 16 and x − 4y = −5
Answer: x = 7, y = 3
- Subtract equation 2 from equation 1: 7y = 21
- y = 3
- Substitute into equation 1: x + 9 = 16, so x = 7
7.Solve simultaneously: x + 4y = 29 and x − 2y = −19
Answer: x = −3, y = 8
- Subtract equation 2 from equation 1: 6y = 48
- y = 8
- Substitute into equation 1: x + 32 = 29, so x = −3
8.Solve simultaneously: x + 3y = −10 and x − y = −2
Answer: x = −4, y = −2
- Subtract equation 2 from equation 1: 4y = −8
- y = −2
- Substitute into equation 1: x − 6 = −10, 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.
- Celebrate what went well first, then pick one thing to work on next.