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 = −20 and x − 2y = 4
Answer: x = −4, y = −4
- Subtract equation 2 from equation 1: 6y = −24
- y = −4
- Substitute into equation 1: x − 16 = −20, so x = −4
2.Solve simultaneously: x + 2y = −5 and x − 4y = 7
Answer: x = −1, y = −2
- Subtract equation 2 from equation 1: 6y = −12
- y = −2
- Substitute into equation 1: x − 4 = −5, so x = −1
3.Solve simultaneously: x + 4y = 6 and x − y = −4
Answer: x = −2, y = 2
- Subtract equation 2 from equation 1: 5y = 10
- y = 2
- Substitute into equation 1: x + 8 = 6, so x = −2
4.Solve simultaneously: x + 2y = −7 and x − 3y = 3
Answer: x = −3, y = −2
- Subtract equation 2 from equation 1: 5y = −10
- y = −2
- Substitute into equation 1: x − 4 = −7, so x = −3
5.Solve simultaneously: x + 2y = 2 and x − y = 11
Answer: x = 8, y = −3
- Subtract equation 2 from equation 1: 3y = −9
- y = −3
- Substitute into equation 1: x − 6 = 2, so x = 8
6.Solve simultaneously: x + 4y = 14 and x − y = 4
Answer: x = 6, y = 2
- Subtract equation 2 from equation 1: 5y = 10
- y = 2
- Substitute into equation 1: x + 8 = 14, so x = 6
7.Solve simultaneously: x + 3y = 10 and x − 4y = −4
Answer: x = 4, y = 2
- Subtract equation 2 from equation 1: 7y = 14
- y = 2
- Substitute into equation 1: x + 6 = 10, so x = 4
8.Solve simultaneously: x + 2y = 3 and x − 3y = −17
Answer: x = −5, y = 4
- Subtract equation 2 from equation 1: 5y = 20
- y = 4
- Substitute into equation 1: x + 8 = 3, 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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