11th Grade Systems of Equations Worksheet — Level 2 — Answers
Answer sheet with worked solutions for the 11th Grade systems of equations worksheet.
Success TutoringWorksheetsAnswer sheet11th Grade · Mathematics · Simultaneous Equations11th Grade Systems of Equations Worksheet — Level 2 — Answers
Solve each pair of equations. Check your solution satisfies both equations.
1.Solve the system: 2x + 4y = −12 and 2x − 3y = 16
Answer: x = 2, y = −4
- Subtract equation 2 from equation 1: 7y = −28
- y = −4
- Substitute into equation 1: 2x − 16 = −12, so x = 2
2.Solve the system: 3x + 4y = −10 and 3x − y = −5
Answer: x = −2, y = −1
- Subtract equation 2 from equation 1: 5y = −5
- y = −1
- Substitute into equation 1: 3x − 4 = −10, so x = −2
3.Solve the system: 3x + 4y = −25 and 3x − 3y = 3
Answer: x = −3, y = −4
- Subtract equation 2 from equation 1: 7y = −28
- y = −4
- Substitute into equation 1: 3x − 16 = −25, so x = −3
4.Solve the system: 3x + y = 21 and 3x − 3y = 33
Answer: x = 8, y = −3
- Subtract equation 2 from equation 1: 4y = −12
- y = −3
- Substitute into equation 1: 3x − 3 = 21, so x = 8
5.Solve the system: 3x + y = 21 and 3x − 2y = 3
Answer: x = 5, y = 6
- Subtract equation 2 from equation 1: 3y = 18
- y = 6
- Substitute into equation 1: 3x + 6 = 21, so x = 5
6.Solve the system: 2x + 2y = 4 and 2x − y = −17
Answer: x = −5, y = 7
- Subtract equation 2 from equation 1: 3y = 21
- y = 7
- Substitute into equation 1: 2x + 14 = 4, so x = −5
7.Solve the system: 3x + 4y = 14 and 3x − 5y = −31
Answer: x = −2, y = 5
- Subtract equation 2 from equation 1: 9y = 45
- y = 5
- Substitute into equation 1: 3x + 20 = 14, so x = −2
8.Solve the system: 4x + y = 26 and 4x − 2y = 20
Answer: x = 6, y = 2
- Subtract equation 2 from equation 1: 3y = 6
- y = 2
- Substitute into equation 1: 4x + 2 = 26, so x = 6
Marking tips
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