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11th Grade Systems of Equations Worksheet — Level 2 — Practice Set 3 — Answers

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Success TutoringWorksheetsAnswer sheet11th Grade · Mathematics · Simultaneous Equations

11th 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: 3x + y = 0 and 3x − 3y = 12

Answer: x = 1, y = −3

  1. Subtract equation 2 from equation 1: 4y = −12
  2. y = −3
  3. Substitute into equation 1: 3x − 3 = 0, so x = 1
2.Solve the system: 3x + y = −11 and 3x − 2y = −14

Answer: x = −4, y = 1

  1. Subtract equation 2 from equation 1: 3y = 3
  2. y = 1
  3. Substitute into equation 1: 3x + 1 = −11, so x = −4
3.Solve the system: 4x + y = −21 and 4x − 3y = −17

Answer: x = −5, y = −1

  1. Subtract equation 2 from equation 1: 4y = −4
  2. y = −1
  3. Substitute into equation 1: 4x − 1 = −21, so x = −5
4.Solve the system: 2x + 4y = 0 and 2x − y = −15

Answer: x = −6, y = 3

  1. Subtract equation 2 from equation 1: 5y = 15
  2. y = 3
  3. Substitute into equation 1: 2x + 12 = 0, so x = −6
5.Solve the system: 2x + y = 13 and 2x − 4y = −12

Answer: x = 4, y = 5

  1. Subtract equation 2 from equation 1: 5y = 25
  2. y = 5
  3. Substitute into equation 1: 2x + 5 = 13, so x = 4
6.Solve the system: 2x + 3y = 8 and 2x − 4y = −6

Answer: x = 1, y = 2

  1. Subtract equation 2 from equation 1: 7y = 14
  2. y = 2
  3. Substitute into equation 1: 2x + 6 = 8, so x = 1
7.Solve the system: 4x + 2y = 12 and 4x − 3y = 22

Answer: x = 4, y = −2

  1. Subtract equation 2 from equation 1: 5y = −10
  2. y = −2
  3. Substitute into equation 1: 4x − 4 = 12, so x = 4
8.Solve the system: 3x + 3y = 24 and 3x − 4y = −18

Answer: x = 2, y = 6

  1. Subtract equation 2 from equation 1: 7y = 42
  2. y = 6
  3. Substitute into equation 1: 3x + 18 = 24, so x = 2
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