Year 10 Simultaneous Equations Worksheet — Level 2 — Answers
Answer sheet with worked solutions for the Year 10 simultaneous equations worksheet.
Year 10 · Mathematics · Simultaneous Equations
Year 10 Simultaneous Equations Worksheet — Level 2 — Answers
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Solve each pair of equations. Check your solution satisfies both equations.
1.Solve simultaneously: 3x + 3y = 30 and 3x − 2y = 0
Answer: x = 4, y = 6
- Subtract equation 2 from equation 1: 5y = 30
- y = 6
- Substitute into equation 1: 3x + 18 = 30, so x = 4
2.Solve simultaneously: 2x + 2y = −4 and 2x − 3y = 11
Answer: x = 1, y = −3
- Subtract equation 2 from equation 1: 5y = −15
- y = −3
- Substitute into equation 1: 2x − 6 = −4, so x = 1
3.Solve simultaneously: 4x + y = 4 and 4x − 4y = −36
Answer: x = −1, y = 8
- Subtract equation 2 from equation 1: 5y = 40
- y = 8
- Substitute into equation 1: 4x + 8 = 4, so x = −1
4.Solve simultaneously: 4x + 3y = −19 and 4x − 4y = 16
Answer: x = −1, y = −5
- Subtract equation 2 from equation 1: 7y = −35
- y = −5
- Substitute into equation 1: 4x − 15 = −19, so x = −1
5.Solve simultaneously: 4x + 2y = −4 and 4x − 3y = −34
Answer: x = −4, y = 6
- Subtract equation 2 from equation 1: 5y = 30
- y = 6
- Substitute into equation 1: 4x + 12 = −4, so x = −4
6.Solve simultaneously: 3x + 2y = −4 and 3x − y = 11
Answer: x = 2, y = −5
- Subtract equation 2 from equation 1: 3y = −15
- y = −5
- Substitute into equation 1: 3x − 10 = −4, so x = 2
7.Solve simultaneously: 2x + 2y = −8 and 2x − 3y = −18
Answer: x = −6, y = 2
- Subtract equation 2 from equation 1: 5y = 10
- y = 2
- Substitute into equation 1: 2x + 4 = −8, so x = −6
8.Solve simultaneously: 4x + 2y = −4 and 4x − 3y = −14
Answer: x = −2, y = 2
- Subtract equation 2 from equation 1: 5y = 10
- y = 2
- Substitute into equation 1: 4x + 4 = −4, so x = −2
Marking tips
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