11th Grade Systems of Equations Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the 11th Grade systems of equations worksheet.
Success TutoringWorksheetsAnswer sheet11th Grade · Mathematics · Simultaneous Equations11th Grade Systems of Equations Worksheet — Level 1 — Answers
Solve each pair of equations. Check your solution satisfies both equations.
1.Solve the system: x + 4y = 8 and x − 2y = −10
Answer: x = −4, y = 3
- Subtract equation 2 from equation 1: 6y = 18
- y = 3
- Substitute into equation 1: x + 12 = 8, so x = −4
2.Solve the system: x + 3y = −14 and x − 2y = 16
Answer: x = 4, y = −6
- Subtract equation 2 from equation 1: 5y = −30
- y = −6
- Substitute into equation 1: x − 18 = −14, so x = 4
3.Solve the system: x + 2y = 9 and x − y = −3
Answer: x = 1, y = 4
- Subtract equation 2 from equation 1: 3y = 12
- y = 4
- Substitute into equation 1: x + 8 = 9, so x = 1
4.Solve the system: x + 3y = −1 and x − 4y = 20
Answer: x = 8, y = −3
- Subtract equation 2 from equation 1: 7y = −21
- y = −3
- Substitute into equation 1: x − 9 = −1, so x = 8
5.Solve the system: x + 3y = 10 and x − y = −6
Answer: x = −2, y = 4
- Subtract equation 2 from equation 1: 4y = 16
- y = 4
- Substitute into equation 1: x + 12 = 10, so x = −2
6.Solve the system: x + 2y = 6 and x − y = 9
Answer: x = 8, y = −1
- Subtract equation 2 from equation 1: 3y = −3
- y = −1
- Substitute into equation 1: x − 2 = 6, so x = 8
7.Solve the system: x + 4y = 17 and x − 2y = −1
Answer: x = 5, y = 3
- Subtract equation 2 from equation 1: 6y = 18
- y = 3
- Substitute into equation 1: x + 12 = 17, so x = 5
8.Solve the system: x + 3y = 27 and x − 2y = −8
Answer: x = 6, y = 7
- Subtract equation 2 from equation 1: 5y = 35
- y = 7
- Substitute into equation 1: x + 21 = 27, so x = 6
Marking tips
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