10th Grade Systems of Equations Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the 10th Grade systems of equations worksheet.
Success TutoringWorksheetsAnswer sheet10th Grade · Mathematics · Simultaneous Equations10th Grade Systems of Equations Worksheet — Level 1 — Answers
Solve each pair of equations. Check your solution satisfies both equations.
1.Solve the system: x + 3y = −9 and x − 3y = −3
Answer: x = −6, y = −1
- Subtract equation 2 from equation 1: 6y = −6
- y = −1
- Substitute into equation 1: x − 3 = −9, so x = −6
2.Solve the system: x + 4y = −5 and x − 2y = 13
Answer: x = 7, y = −3
- Subtract equation 2 from equation 1: 6y = −18
- y = −3
- Substitute into equation 1: x − 12 = −5, so x = 7
3.Solve the system: x + 2y = 10 and x − y = 1
Answer: x = 4, y = 3
- Subtract equation 2 from equation 1: 3y = 9
- y = 3
- Substitute into equation 1: x + 6 = 10, so x = 4
4.Solve the system: x + 4y = −6 and x − 2y = 0
Answer: x = −2, y = −1
- Subtract equation 2 from equation 1: 6y = −6
- y = −1
- Substitute into equation 1: x − 4 = −6, so x = −2
5.Solve the system: x + y = 8 and x − 2y = −4
Answer: x = 4, y = 4
- Subtract equation 2 from equation 1: 3y = 12
- y = 4
- Substitute into equation 1: x + 4 = 8, so x = 4
6.Solve the system: x + y = 3 and x − 2y = 0
Answer: x = 2, y = 1
- Subtract equation 2 from equation 1: 3y = 3
- y = 1
- Substitute into equation 1: x + 1 = 3, so x = 2
7.Solve the system: x + y = −11 and x − 4y = 19
Answer: x = −5, y = −6
- Subtract equation 2 from equation 1: 5y = −30
- y = −6
- Substitute into equation 1: x − 6 = −11, so x = −5
8.Solve the system: x + y = −5 and x − 4y = 0
Answer: x = −4, y = −1
- Subtract equation 2 from equation 1: 5y = −5
- y = −1
- Substitute into equation 1: x − 1 = −5, so x = −4
Marking tips
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