Year 11 Simultaneous Equations Worksheet — Level 2 — Answers
Answer sheet with worked solutions for the Year 11 simultaneous equations worksheet.
Year 11 · Mathematics · Simultaneous Equations
Year 11 Simultaneous Equations Worksheet — Level 2 — Answers
Success Tutoring
Solve each pair of equations. Check your solution satisfies both equations.
1.Solve simultaneously: 4x + 4y = −16 and 4x − 3y = −2
Answer: x = −2, y = −2
- Subtract equation 2 from equation 1: 7y = −14
- y = −2
- Substitute into equation 1: 4x − 8 = −16, so x = −2
2.Solve simultaneously: 3x + 4y = 47 and 3x − 3y = −9
Answer: x = 5, y = 8
- Subtract equation 2 from equation 1: 7y = 56
- y = 8
- Substitute into equation 1: 3x + 32 = 47, so x = 5
3.Solve simultaneously: 3x + 3y = −33 and 3x − 4y = 9
Answer: x = −5, y = −6
- Subtract equation 2 from equation 1: 7y = −42
- y = −6
- Substitute into equation 1: 3x − 18 = −33, so x = −5
4.Solve simultaneously: 4x + y = −4 and 4x − 2y = −28
Answer: x = −3, y = 8
- Subtract equation 2 from equation 1: 3y = 24
- y = 8
- Substitute into equation 1: 4x + 8 = −4, so x = −3
5.Solve simultaneously: 3x + 3y = −12 and 3x − y = 12
Answer: x = 2, y = −6
- Subtract equation 2 from equation 1: 4y = −24
- y = −6
- Substitute into equation 1: 3x − 18 = −12, so x = 2
6.Solve simultaneously: 3x + y = −20 and 3x − 2y = −5
Answer: x = −5, y = −5
- Subtract equation 2 from equation 1: 3y = −15
- y = −5
- Substitute into equation 1: 3x − 5 = −20, so x = −5
7.Solve simultaneously: 4x + 2y = −24 and 4x − 3y = −14
Answer: x = −5, y = −2
- Subtract equation 2 from equation 1: 5y = −10
- y = −2
- Substitute into equation 1: 4x − 4 = −24, so x = −5
8.Solve simultaneously: 3x + y = 24 and 3x − 3y = 0
Answer: x = 6, y = 6
- Subtract equation 2 from equation 1: 4y = 24
- y = 6
- Substitute into equation 1: 3x + 6 = 24, so x = 6
Marking tips
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