11th Grade Systems of Equations Worksheet — Level 1 — Practice Set 4 — 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 4 — Answers
Solve each pair of equations. Check your solution satisfies both equations.
1.Solve the system: x + 3y = −9 and x − y = 11
Answer: x = 6, y = −5
- Subtract equation 2 from equation 1: 4y = −20
- y = −5
- Substitute into equation 1: x − 15 = −9, so x = 6
2.Solve the system: x + 3y = 5 and x − 3y = −7
Answer: x = −1, y = 2
- Subtract equation 2 from equation 1: 6y = 12
- y = 2
- Substitute into equation 1: x + 6 = 5, so x = −1
3.Solve the system: x + y = −3 and x − 3y = 5
Answer: x = −1, y = −2
- Subtract equation 2 from equation 1: 4y = −8
- y = −2
- Substitute into equation 1: x − 2 = −3, so x = −1
4.Solve the system: x + 2y = 8 and x − 2y = 4
Answer: x = 6, y = 1
- Subtract equation 2 from equation 1: 4y = 4
- y = 1
- Substitute into equation 1: x + 2 = 8, so x = 6
5.Solve the system: x + 2y = 5 and x − 3y = −5
Answer: x = 1, y = 2
- Subtract equation 2 from equation 1: 5y = 10
- y = 2
- Substitute into equation 1: x + 4 = 5, so x = 1
6.Solve the system: x + 3y = −3 and x − y = 5
Answer: x = 3, y = −2
- Subtract equation 2 from equation 1: 4y = −8
- y = −2
- Substitute into equation 1: x − 6 = −3, so x = 3
7.Solve the system: x + 3y = 6 and x − 2y = −14
Answer: x = −6, y = 4
- Subtract equation 2 from equation 1: 5y = 20
- y = 4
- Substitute into equation 1: x + 12 = 6, so x = −6
8.Solve the system: x + 3y = 1 and x − 3y = 13
Answer: x = 7, y = −2
- Subtract equation 2 from equation 1: 6y = −12
- y = −2
- Substitute into equation 1: x − 6 = 1, so x = 7
Marking tips
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