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9th Grade Systems of Equations Worksheet — Level 2 — Practice Set 4 — Answers

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Success TutoringWorksheetsAnswer sheet9th Grade · Mathematics · Simultaneous Equations

9th Grade Systems of Equations Worksheet — Level 2 — Practice Set 4 — Answers

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

1.Solve the system: 3x + 3y = 33 and 3x − y = 21

Answer: x = 8, y = 3

  1. Subtract equation 2 from equation 1: 4y = 12
  2. y = 3
  3. Substitute into equation 1: 3x + 9 = 33, so x = 8
2.Solve the system: 4x + y = 22 and 4x − 2y = 40

Answer: x = 7, y = −6

  1. Subtract equation 2 from equation 1: 3y = −18
  2. y = −6
  3. Substitute into equation 1: 4x − 6 = 22, so x = 7
3.Solve the system: 3x + 2y = 3 and 3x − y = 21

Answer: x = 5, y = −6

  1. Subtract equation 2 from equation 1: 3y = −18
  2. y = −6
  3. Substitute into equation 1: 3x − 12 = 3, so x = 5
4.Solve the system: 3x + 3y = −3 and 3x − 2y = −8

Answer: x = −2, y = 1

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

Answer: x = −2, y = 6

  1. Subtract equation 2 from equation 1: 4y = 24
  2. y = 6
  3. Substitute into equation 1: 3x + 18 = 12, so x = −2
6.Solve the system: 4x + y = −22 and 4x − 3y = 2

Answer: x = −4, y = −6

  1. Subtract equation 2 from equation 1: 4y = −24
  2. y = −6
  3. Substitute into equation 1: 4x − 6 = −22, so x = −4
7.Solve the system: 2x + 2y = 10 and 2x − 4y = −38

Answer: x = −3, y = 8

  1. Subtract equation 2 from equation 1: 6y = 48
  2. y = 8
  3. Substitute into equation 1: 2x + 16 = 10, so x = −3
8.Solve the system: 2x + 2y = −6 and 2x − y = −12

Answer: x = −5, y = 2

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