10th Grade Systems of Equations Worksheet — Level 1 — Practice Set 2 — 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 — Practice Set 2 — Answers
Solve each pair of equations. Check your solution satisfies both equations.
1.Solve the system: x + 2y = 6 and x − 4y = 12
Answer: x = 8, y = −1
- Subtract equation 2 from equation 1: 6y = −6
- y = −1
- Substitute into equation 1: x − 2 = 6, so x = 8
2.Solve the system: x + 4y = −4 and x − 4y = 20
Answer: x = 8, y = −3
- Subtract equation 2 from equation 1: 8y = −24
- y = −3
- Substitute into equation 1: x − 12 = −4, so x = 8
3.Solve the system: x + 2y = −1 and x − y = 11
Answer: x = 7, y = −4
- Subtract equation 2 from equation 1: 3y = −12
- y = −4
- Substitute into equation 1: x − 8 = −1, so x = 7
4.Solve the system: x + 3y = −8 and x − y = 0
Answer: x = −2, y = −2
- Subtract equation 2 from equation 1: 4y = −8
- y = −2
- Substitute into equation 1: x − 6 = −8, so x = −2
5.Solve the system: x + y = 6 and x − 2y = −15
Answer: x = −1, y = 7
- Subtract equation 2 from equation 1: 3y = 21
- y = 7
- Substitute into equation 1: x + 7 = 6, so x = −1
6.Solve the system: x + 3y = 14 and x − 2y = 4
Answer: x = 8, y = 2
- Subtract equation 2 from equation 1: 5y = 10
- y = 2
- Substitute into equation 1: x + 6 = 14, so x = 8
7.Solve the system: x + y = 5 and x − 3y = −11
Answer: x = 1, y = 4
- Subtract equation 2 from equation 1: 4y = 16
- y = 4
- Substitute into equation 1: x + 4 = 5, so x = 1
8.Solve the system: x + 3y = 5 and x − 4y = −2
Answer: x = 2, y = 1
- Subtract equation 2 from equation 1: 7y = 7
- y = 1
- Substitute into equation 1: x + 3 = 5, so x = 2
Marking tips
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