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9th Grade Systems of Equations Worksheet — Level 1 — Practice Set 3 — Answers

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Success TutoringWorksheetsAnswer sheet9th Grade · Mathematics · Simultaneous Equations

9th Grade Systems of Equations Worksheet — Level 1 — Practice Set 3 — Answers

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

1.Solve the system: x + 2y = 7 and x − y = 1

Answer: x = 3, y = 2

  1. Subtract equation 2 from equation 1: 3y = 6
  2. y = 2
  3. Substitute into equation 1: x + 4 = 7, so x = 3
2.Solve the system: x + y = 0 and x − y = −6

Answer: x = −3, y = 3

  1. Subtract equation 2 from equation 1: 2y = 6
  2. y = 3
  3. Substitute into equation 1: x + 3 = 0, so x = −3
3.Solve the system: x + 4y = 34 and x − 3y = −15

Answer: x = 6, y = 7

  1. Subtract equation 2 from equation 1: 7y = 49
  2. y = 7
  3. Substitute into equation 1: x + 28 = 34, so x = 6
4.Solve the system: x + 4y = 11 and x − 2y = −13

Answer: x = −5, y = 4

  1. Subtract equation 2 from equation 1: 6y = 24
  2. y = 4
  3. Substitute into equation 1: x + 16 = 11, so x = −5
5.Solve the system: x + 2y = 7 and x − 4y = −17

Answer: x = −1, y = 4

  1. Subtract equation 2 from equation 1: 6y = 24
  2. y = 4
  3. Substitute into equation 1: x + 8 = 7, so x = −1
6.Solve the system: x + 3y = −5 and x − 4y = 9

Answer: x = 1, y = −2

  1. Subtract equation 2 from equation 1: 7y = −14
  2. y = −2
  3. Substitute into equation 1: x − 6 = −5, so x = 1
7.Solve the system: x + y = 9 and x − 4y = −6

Answer: x = 6, y = 3

  1. Subtract equation 2 from equation 1: 5y = 15
  2. y = 3
  3. Substitute into equation 1: x + 3 = 9, so x = 6
8.Solve the system: x + 2y = −1 and x − 3y = 14

Answer: x = 5, y = −3

  1. Subtract equation 2 from equation 1: 5y = −15
  2. y = −3
  3. Substitute into equation 1: x − 6 = −1, so x = 5
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