10th Grade Systems of Equations Worksheet — Level 1 — Practice Set 4 — 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 4 — Answers
Solve each pair of equations. Check your solution satisfies both equations.
1.Solve the system: x + 2y = −3 and x − y = −6
Answer: x = −5, y = 1
- Subtract equation 2 from equation 1: 3y = 3
- y = 1
- Substitute into equation 1: x + 2 = −3, so x = −5
2.Solve the system: x + 4y = −25 and x − 3y = 17
Answer: x = −1, y = −6
- Subtract equation 2 from equation 1: 7y = −42
- y = −6
- Substitute into equation 1: x − 24 = −25, so x = −1
3.Solve the system: x + 3y = 8 and x − 4y = −13
Answer: x = −1, y = 3
- Subtract equation 2 from equation 1: 7y = 21
- y = 3
- Substitute into equation 1: x + 9 = 8, so x = −1
4.Solve the system: x + 3y = −4 and x − 2y = 11
Answer: x = 5, y = −3
- Subtract equation 2 from equation 1: 5y = −15
- y = −3
- Substitute into equation 1: x − 9 = −4, so x = 5
5.Solve the system: x + y = 2 and x − y = 6
Answer: x = 4, y = −2
- Subtract equation 2 from equation 1: 2y = −4
- y = −2
- Substitute into equation 1: x − 2 = 2, so x = 4
6.Solve the system: x + 4y = 29 and x − 4y = −27
Answer: x = 1, y = 7
- Subtract equation 2 from equation 1: 8y = 56
- y = 7
- Substitute into equation 1: x + 28 = 29, so x = 1
7.Solve the system: x + 4y = 34 and x − y = −1
Answer: x = 6, y = 7
- Subtract equation 2 from equation 1: 5y = 35
- y = 7
- Substitute into equation 1: x + 28 = 34, so x = 6
8.Solve the system: x + 2y = −5 and x − 3y = 25
Answer: x = 7, y = −6
- Subtract equation 2 from equation 1: 5y = −30
- y = −6
- Substitute into equation 1: x − 12 = −5, so x = 7
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
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