11th Grade Systems of Equations Worksheet — Level 1 — Practice Set 2 — 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 — Practice Set 2 — Answers
Solve each pair of equations. Check your solution satisfies both equations.
1.Solve the system: x + 3y = −6 and x − y = 10
Answer: x = 6, y = −4
- Subtract equation 2 from equation 1: 4y = −16
- y = −4
- Substitute into equation 1: x − 12 = −6, so x = 6
2.Solve the system: x + 2y = −16 and x − 2y = 8
Answer: x = −4, y = −6
- Subtract equation 2 from equation 1: 4y = −24
- y = −6
- Substitute into equation 1: x − 12 = −16, so x = −4
3.Solve the system: x + y = −3 and x − 3y = 13
Answer: x = 1, y = −4
- Subtract equation 2 from equation 1: 4y = −16
- y = −4
- Substitute into equation 1: x − 4 = −3, so x = 1
4.Solve the system: x + 2y = 10 and x − 3y = −30
Answer: x = −6, y = 8
- Subtract equation 2 from equation 1: 5y = 40
- y = 8
- Substitute into equation 1: x + 16 = 10, so x = −6
5.Solve the system: x + 4y = 17 and x − 4y = −15
Answer: x = 1, y = 4
- Subtract equation 2 from equation 1: 8y = 32
- y = 4
- Substitute into equation 1: x + 16 = 17, so x = 1
6.Solve the system: x + 2y = 16 and x − 3y = −14
Answer: x = 4, y = 6
- Subtract equation 2 from equation 1: 5y = 30
- y = 6
- Substitute into equation 1: x + 12 = 16, so x = 4
7.Solve the system: x + 3y = 19 and x − 2y = −21
Answer: x = −5, y = 8
- Subtract equation 2 from equation 1: 5y = 40
- y = 8
- Substitute into equation 1: x + 24 = 19, so x = −5
8.Solve the system: x + 4y = 26 and x − 4y = −30
Answer: x = −2, y = 7
- Subtract equation 2 from equation 1: 8y = 56
- y = 7
- Substitute into equation 1: x + 28 = 26, so x = −2
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
- Celebrate what went well first, then pick one thing to work on next.