11th Grade Systems of Equations Worksheet — Level 1 — Practice Set 3 — 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 3 — Answers
Solve each pair of equations. Check your solution satisfies both equations.
1.Solve the system: x + 2y = 4 and x − 3y = −1
Answer: x = 2, y = 1
- Subtract equation 2 from equation 1: 5y = 5
- y = 1
- Substitute into equation 1: x + 2 = 4, so x = 2
2.Solve the system: x + 2y = −1 and x − 3y = −11
Answer: x = −5, y = 2
- Subtract equation 2 from equation 1: 5y = 10
- y = 2
- Substitute into equation 1: x + 4 = −1, so x = −5
3.Solve the system: x + y = 14 and x − 2y = −4
Answer: x = 8, y = 6
- Subtract equation 2 from equation 1: 3y = 18
- y = 6
- Substitute into equation 1: x + 6 = 14, so x = 8
4.Solve the system: x + 4y = 2 and x − 3y = 9
Answer: x = 6, y = −1
- Subtract equation 2 from equation 1: 7y = −7
- y = −1
- Substitute into equation 1: x − 4 = 2, so x = 6
5.Solve the system: x + 4y = 4 and x − 4y = −12
Answer: x = −4, y = 2
- Subtract equation 2 from equation 1: 8y = 16
- y = 2
- Substitute into equation 1: x + 8 = 4, so x = −4
6.Solve the system: x + 2y = −2 and x − 2y = 14
Answer: x = 6, y = −4
- Subtract equation 2 from equation 1: 4y = −16
- y = −4
- Substitute into equation 1: x − 8 = −2, so x = 6
7.Solve the system: x + 4y = −12 and x − 3y = 16
Answer: x = 4, y = −4
- Subtract equation 2 from equation 1: 7y = −28
- y = −4
- Substitute into equation 1: x − 16 = −12, so x = 4
8.Solve the system: x + 3y = 8 and x − y = 4
Answer: x = 5, y = 1
- Subtract equation 2 from equation 1: 4y = 4
- y = 1
- Substitute into equation 1: x + 3 = 8, so x = 5
Marking tips
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