10th Grade Systems of Equations Worksheet — Level 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 2 — Answers
Solve each pair of equations. Check your solution satisfies both equations.
1.Solve the system: 2x + 3y = −7 and 2x − 4y = 14
Answer: x = 1, y = −3
- Subtract equation 2 from equation 1: 7y = −21
- y = −3
- Substitute into equation 1: 2x − 9 = −7, so x = 1
2.Solve the system: 3x + 4y = 10 and 3x − 3y = −18
Answer: x = −2, y = 4
- Subtract equation 2 from equation 1: 7y = 28
- y = 4
- Substitute into equation 1: 3x + 16 = 10, so x = −2
3.Solve the system: 3x + 2y = −2 and 3x − 3y = 18
Answer: x = 2, y = −4
- Subtract equation 2 from equation 1: 5y = −20
- y = −4
- Substitute into equation 1: 3x − 8 = −2, so x = 2
4.Solve the system: 3x + y = −16 and 3x − 3y = −12
Answer: x = −5, y = −1
- Subtract equation 2 from equation 1: 4y = −4
- y = −1
- Substitute into equation 1: 3x − 1 = −16, so x = −5
5.Solve the system: 4x + y = −15 and 4x − 2y = −6
Answer: x = −3, y = −3
- Subtract equation 2 from equation 1: 3y = −9
- y = −3
- Substitute into equation 1: 4x − 3 = −15, so x = −3
6.Solve the system: 3x + 2y = 35 and 3x − 3y = 0
Answer: x = 7, y = 7
- Subtract equation 2 from equation 1: 5y = 35
- y = 7
- Substitute into equation 1: 3x + 14 = 35, so x = 7
7.Solve the system: 4x + 3y = 43 and 4x − 4y = 8
Answer: x = 7, y = 5
- Subtract equation 2 from equation 1: 7y = 35
- y = 5
- Substitute into equation 1: 4x + 15 = 43, so x = 7
8.Solve the system: 3x + 2y = 31 and 3x − 3y = 6
Answer: x = 7, y = 5
- Subtract equation 2 from equation 1: 5y = 25
- y = 5
- Substitute into equation 1: 3x + 10 = 31, so x = 7
Marking tips
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