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9th Grade Systems of Equations Worksheet — Level 1 — Practice Set 2 — Answers

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Success TutoringWorksheetsAnswer sheet9th Grade · Mathematics · Simultaneous Equations

9th Grade Systems of Equations Worksheet — Level 1 — Practice Set 2 — Answers

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

1.Solve the system: x + 3y = 6 and x − 4y = −15

Answer: x = −3, y = 3

  1. Subtract equation 2 from equation 1: 7y = 21
  2. y = 3
  3. Substitute into equation 1: x + 9 = 6, so x = −3
2.Solve the system: x + 4y = 30 and x − 3y = −26

Answer: x = −2, y = 8

  1. Subtract equation 2 from equation 1: 7y = 56
  2. y = 8
  3. Substitute into equation 1: x + 32 = 30, so x = −2
3.Solve the system: x + 3y = 11 and x − y = −1

Answer: x = 2, y = 3

  1. Subtract equation 2 from equation 1: 4y = 12
  2. y = 3
  3. Substitute into equation 1: x + 9 = 11, so x = 2
4.Solve the system: x + y = −3 and x − 2y = −6

Answer: x = −4, y = 1

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

Answer: x = 8, y = 4

  1. Subtract equation 2 from equation 1: 7y = 28
  2. y = 4
  3. Substitute into equation 1: x + 12 = 20, so x = 8
6.Solve the system: x + y = 12 and x − 2y = −3

Answer: x = 7, y = 5

  1. Subtract equation 2 from equation 1: 3y = 15
  2. y = 5
  3. Substitute into equation 1: x + 5 = 12, so x = 7
7.Solve the system: x + y = 4 and x − 2y = 16

Answer: x = 8, y = −4

  1. Subtract equation 2 from equation 1: 3y = −12
  2. y = −4
  3. Substitute into equation 1: x − 4 = 4, so x = 8
8.Solve the system: x + 3y = 2 and x − y = 10

Answer: x = 8, y = −2

  1. Subtract equation 2 from equation 1: 4y = −8
  2. y = −2
  3. Substitute into equation 1: x − 6 = 2, so x = 8
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