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

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Success TutoringWorksheetsAnswer sheet9th Grade · Mathematics · Simultaneous Equations

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

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

1.Solve the system: 4x + y = −17 and 4x − 2y = −2

Answer: x = −3, y = −5

  1. Subtract equation 2 from equation 1: 3y = −15
  2. y = −5
  3. Substitute into equation 1: 4x − 5 = −17, so x = −3
2.Solve the system: 2x + y = 16 and 2x − 4y = −14

Answer: x = 5, y = 6

  1. Subtract equation 2 from equation 1: 5y = 30
  2. y = 6
  3. Substitute into equation 1: 2x + 6 = 16, so x = 5
3.Solve the system: 3x + y = 29 and 3x − 4y = 4

Answer: x = 8, y = 5

  1. Subtract equation 2 from equation 1: 5y = 25
  2. y = 5
  3. Substitute into equation 1: 3x + 5 = 29, so x = 8
4.Solve the system: 4x + 3y = 33 and 4x − y = 5

Answer: x = 3, y = 7

  1. Subtract equation 2 from equation 1: 4y = 28
  2. y = 7
  3. Substitute into equation 1: 4x + 21 = 33, so x = 3
5.Solve the system: 4x + 4y = 20 and 4x − 3y = −29

Answer: x = −2, y = 7

  1. Subtract equation 2 from equation 1: 7y = 49
  2. y = 7
  3. Substitute into equation 1: 4x + 28 = 20, so x = −2
6.Solve the system: 3x + 4y = 20 and 3x − 5y = 2

Answer: x = 4, y = 2

  1. Subtract equation 2 from equation 1: 9y = 18
  2. y = 2
  3. Substitute into equation 1: 3x + 8 = 20, so x = 4
7.Solve the system: 4x + 3y = −13 and 4x − 4y = 8

Answer: x = −1, y = −3

  1. Subtract equation 2 from equation 1: 7y = −21
  2. y = −3
  3. Substitute into equation 1: 4x − 9 = −13, so x = −1
8.Solve the system: 3x + y = 15 and 3x − 2y = −3

Answer: x = 3, y = 6

  1. Subtract equation 2 from equation 1: 3y = 18
  2. y = 6
  3. Substitute into equation 1: 3x + 6 = 15, so x = 3
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