Year 10 Simultaneous Equations Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the Year 10 simultaneous equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Simultaneous EquationsYear 10 Simultaneous Equations Worksheet — Level 1 — Answers
Solve each pair of equations. Check your solution satisfies both equations.
1.Solve simultaneously: x + 4y = 30 and x − 4y = −18
Answer: x = 6, y = 6
- Subtract equation 2 from equation 1: 8y = 48
- y = 6
- Substitute into equation 1: x + 24 = 30, so x = 6
2.Solve simultaneously: x + 3y = −12 and x − 4y = 9
Answer: x = −3, y = −3
- Subtract equation 2 from equation 1: 7y = −21
- y = −3
- Substitute into equation 1: x − 9 = −12, so x = −3
3.Solve simultaneously: x + 4y = 24 and x − 2y = −18
Answer: x = −4, y = 7
- Subtract equation 2 from equation 1: 6y = 42
- y = 7
- Substitute into equation 1: x + 28 = 24, so x = −4
4.Solve simultaneously: x + 3y = 21 and x − 3y = −9
Answer: x = 6, y = 5
- Subtract equation 2 from equation 1: 6y = 30
- y = 5
- Substitute into equation 1: x + 15 = 21, so x = 6
5.Solve simultaneously: x + 2y = 9 and x − 4y = 3
Answer: x = 7, y = 1
- Subtract equation 2 from equation 1: 6y = 6
- y = 1
- Substitute into equation 1: x + 2 = 9, so x = 7
6.Solve simultaneously: x + 2y = 22 and x − 4y = −20
Answer: x = 8, y = 7
- Subtract equation 2 from equation 1: 6y = 42
- y = 7
- Substitute into equation 1: x + 14 = 22, so x = 8
7.Solve simultaneously: x + 4y = 2 and x − 3y = −12
Answer: x = −6, y = 2
- Subtract equation 2 from equation 1: 7y = 14
- y = 2
- Substitute into equation 1: x + 8 = 2, so x = −6
8.Solve simultaneously: x + y = −9 and x − 3y = 7
Answer: x = −5, y = −4
- Subtract equation 2 from equation 1: 4y = −16
- y = −4
- Substitute into equation 1: x − 4 = −9, so x = −5
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
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