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9th Grade Systems of Equations Worksheet — Level 1 — Practice Set 4 — Answers

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Success TutoringWorksheetsAnswer sheet9th Grade · Mathematics · Simultaneous Equations

9th Grade Systems of Equations Worksheet — Level 1 — Practice Set 4 — Answers

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

1.Solve the system: x + 3y = 22 and x − y = −10

Answer: x = −2, y = 8

  1. Subtract equation 2 from equation 1: 4y = 32
  2. y = 8
  3. Substitute into equation 1: x + 24 = 22, so x = −2
2.Solve the system: x + 4y = 25 and x − 2y = −17

Answer: x = −3, y = 7

  1. Subtract equation 2 from equation 1: 6y = 42
  2. y = 7
  3. Substitute into equation 1: x + 28 = 25, so x = −3
3.Solve the system: x + 3y = 29 and x − 4y = −27

Answer: x = 5, y = 8

  1. Subtract equation 2 from equation 1: 7y = 56
  2. y = 8
  3. Substitute into equation 1: x + 24 = 29, so x = 5
4.Solve the system: x + 4y = 26 and x − y = −14

Answer: x = −6, y = 8

  1. Subtract equation 2 from equation 1: 5y = 40
  2. y = 8
  3. Substitute into equation 1: x + 32 = 26, so x = −6
5.Solve the system: x + y = −1 and x − 2y = 14

Answer: x = 4, y = −5

  1. Subtract equation 2 from equation 1: 3y = −15
  2. y = −5
  3. Substitute into equation 1: x − 5 = −1, so x = 4
6.Solve the system: x + 2y = 11 and x − y = −7

Answer: x = −1, y = 6

  1. Subtract equation 2 from equation 1: 3y = 18
  2. y = 6
  3. Substitute into equation 1: x + 12 = 11, so x = −1
7.Solve the system: x + y = −8 and x − y = 2

Answer: x = −3, y = −5

  1. Subtract equation 2 from equation 1: 2y = −10
  2. y = −5
  3. Substitute into equation 1: x − 5 = −8, so x = −3
8.Solve the system: x + 4y = 23 and x − 3y = −5

Answer: x = 7, y = 4

  1. Subtract equation 2 from equation 1: 7y = 28
  2. y = 4
  3. Substitute into equation 1: x + 16 = 23, so x = 7
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