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9th Grade Systems of Equations Worksheet — Level 2 — Answers

Answer sheet with worked solutions for the 9th Grade systems of equations worksheet.

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Success TutoringWorksheetsAnswer sheet9th Grade · Mathematics · Simultaneous Equations

9th Grade Systems of Equations Worksheet — Level 2 — Answers

Solve each pair of equations. Check your solution satisfies both equations.

1.Solve the system: 3x + 2y = −21 and 3x − 3y = 9

Answer: x = −3, y = −6

  1. Subtract equation 2 from equation 1: 5y = −30
  2. y = −6
  3. Substitute into equation 1: 3x − 12 = −21, so x = −3
2.Solve the system: 3x + 4y = 17 and 3x − 2y = −13

Answer: x = −1, y = 5

  1. Subtract equation 2 from equation 1: 6y = 30
  2. y = 5
  3. Substitute into equation 1: 3x + 20 = 17, so x = −1
3.Solve the system: 2x + 4y = 22 and 2x − 5y = −5

Answer: x = 5, y = 3

  1. Subtract equation 2 from equation 1: 9y = 27
  2. y = 3
  3. Substitute into equation 1: 2x + 12 = 22, so x = 5
4.Solve the system: 2x + 4y = −12 and 2x − 2y = 18

Answer: x = 4, y = −5

  1. Subtract equation 2 from equation 1: 6y = −30
  2. y = −5
  3. Substitute into equation 1: 2x − 20 = −12, so x = 4
5.Solve the system: 3x + 3y = 6 and 3x − 4y = −1

Answer: x = 1, y = 1

  1. Subtract equation 2 from equation 1: 7y = 7
  2. y = 1
  3. Substitute into equation 1: 3x + 3 = 6, so x = 1
6.Solve the system: 3x + 4y = 8 and 3x − y = −17

Answer: x = −4, y = 5

  1. Subtract equation 2 from equation 1: 5y = 25
  2. y = 5
  3. Substitute into equation 1: 3x + 20 = 8, so x = −4
7.Solve the system: 2x + y = 23 and 2x − 4y = −12

Answer: x = 8, y = 7

  1. Subtract equation 2 from equation 1: 5y = 35
  2. y = 7
  3. Substitute into equation 1: 2x + 7 = 23, so x = 8
8.Solve the system: 2x + 4y = 16 and 2x − y = 11

Answer: x = 6, y = 1

  1. Subtract equation 2 from equation 1: 5y = 5
  2. y = 1
  3. Substitute into equation 1: 2x + 4 = 16, so x = 6
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