10th Grade Systems of Equations Worksheet — Level 2 — 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 2 — Practice Set 4 — Answers
Solve each pair of equations. Check your solution satisfies both equations.
1.Solve the system: 4x + y = −19 and 4x − 4y = −44
Answer: x = −6, y = 5
- Subtract equation 2 from equation 1: 5y = 25
- y = 5
- Substitute into equation 1: 4x + 5 = −19, so x = −6
2.Solve the system: 2x + y = 19 and 2x − 3y = −9
Answer: x = 6, y = 7
- Subtract equation 2 from equation 1: 4y = 28
- y = 7
- Substitute into equation 1: 2x + 7 = 19, so x = 6
3.Solve the system: 3x + 3y = −12 and 3x − 2y = −17
Answer: x = −5, y = 1
- Subtract equation 2 from equation 1: 5y = 5
- y = 1
- Substitute into equation 1: 3x + 3 = −12, so x = −5
4.Solve the system: 2x + 4y = −12 and 2x − 5y = 6
Answer: x = −2, y = −2
- Subtract equation 2 from equation 1: 9y = −18
- y = −2
- Substitute into equation 1: 2x − 8 = −12, so x = −2
5.Solve the system: 2x + y = 4 and 2x − 4y = 34
Answer: x = 5, y = −6
- Subtract equation 2 from equation 1: 5y = −30
- y = −6
- Substitute into equation 1: 2x − 6 = 4, so x = 5
6.Solve the system: 3x + 4y = 36 and 3x − y = 6
Answer: x = 4, y = 6
- Subtract equation 2 from equation 1: 5y = 30
- y = 6
- Substitute into equation 1: 3x + 24 = 36, so x = 4
7.Solve the system: 4x + 4y = −16 and 4x − 2y = −10
Answer: x = −3, y = −1
- Subtract equation 2 from equation 1: 6y = −6
- y = −1
- Substitute into equation 1: 4x − 4 = −16, so x = −3
8.Solve the system: 3x + 2y = −10 and 3x − 4y = 2
Answer: x = −2, y = −2
- Subtract equation 2 from equation 1: 6y = −12
- y = −2
- Substitute into equation 1: 3x − 4 = −10, so x = −2
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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