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9th Grade Systems of Equations Worksheet — Level 2 — Practice Set 3 — Answers

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Success TutoringWorksheetsAnswer sheet9th Grade · Mathematics · Simultaneous Equations

9th Grade Systems of Equations Worksheet — Level 2 — Practice Set 3 — Answers

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

1.Solve the system: 2x + 2y = −8 and 2x − y = −5

Answer: x = −3, y = −1

  1. Subtract equation 2 from equation 1: 3y = −3
  2. y = −1
  3. Substitute into equation 1: 2x − 2 = −8, so x = −3
2.Solve the system: 4x + 2y = −6 and 4x − y = −21

Answer: x = −4, y = 5

  1. Subtract equation 2 from equation 1: 3y = 15
  2. y = 5
  3. Substitute into equation 1: 4x + 10 = −6, so x = −4
3.Solve the system: 4x + y = −16 and 4x − 2y = −40

Answer: x = −6, y = 8

  1. Subtract equation 2 from equation 1: 3y = 24
  2. y = 8
  3. Substitute into equation 1: 4x + 8 = −16, so x = −6
4.Solve the system: 2x + 3y = 34 and 2x − y = 2

Answer: x = 5, y = 8

  1. Subtract equation 2 from equation 1: 4y = 32
  2. y = 8
  3. Substitute into equation 1: 2x + 24 = 34, so x = 5
5.Solve the system: 2x + y = −2 and 2x − 3y = −26

Answer: x = −4, y = 6

  1. Subtract equation 2 from equation 1: 4y = 24
  2. y = 6
  3. Substitute into equation 1: 2x + 6 = −2, so x = −4
6.Solve the system: 3x + y = 19 and 3x − 4y = 29

Answer: x = 7, y = −2

  1. Subtract equation 2 from equation 1: 5y = −10
  2. y = −2
  3. Substitute into equation 1: 3x − 2 = 19, so x = 7
7.Solve the system: 4x + y = −22 and 4x − 4y = −12

Answer: x = −5, y = −2

  1. Subtract equation 2 from equation 1: 5y = −10
  2. y = −2
  3. Substitute into equation 1: 4x − 2 = −22, so x = −5
8.Solve the system: 2x + 2y = 32 and 2x − y = 8

Answer: x = 8, y = 8

  1. Subtract equation 2 from equation 1: 3y = 24
  2. y = 8
  3. Substitute into equation 1: 2x + 16 = 32, so x = 8
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