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

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Success TutoringWorksheetsAnswer sheet11th Grade · Mathematics · Simultaneous Equations

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

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

1.Solve the system: 4x + 3y = 4 and 4x − 4y = 32

Answer: x = 4, y = −4

  1. Subtract equation 2 from equation 1: 7y = −28
  2. y = −4
  3. Substitute into equation 1: 4x − 12 = 4, so x = 4
2.Solve the system: 4x + 2y = 0 and 4x − 3y = −20

Answer: x = −2, y = 4

  1. Subtract equation 2 from equation 1: 5y = 20
  2. y = 4
  3. Substitute into equation 1: 4x + 8 = 0, so x = −2
3.Solve the system: 3x + 4y = 14 and 3x − 3y = −42

Answer: x = −6, y = 8

  1. Subtract equation 2 from equation 1: 7y = 56
  2. y = 8
  3. Substitute into equation 1: 3x + 32 = 14, so x = −6
4.Solve the system: 2x + 3y = 0 and 2x − 2y = 20

Answer: x = 6, y = −4

  1. Subtract equation 2 from equation 1: 5y = −20
  2. y = −4
  3. Substitute into equation 1: 2x − 12 = 0, so x = 6
5.Solve the system: 2x + y = 2 and 2x − 2y = −22

Answer: x = −3, y = 8

  1. Subtract equation 2 from equation 1: 3y = 24
  2. y = 8
  3. Substitute into equation 1: 2x + 8 = 2, so x = −3
6.Solve the system: 2x + 3y = −25 and 2x − 4y = 10

Answer: x = −5, y = −5

  1. Subtract equation 2 from equation 1: 7y = −35
  2. y = −5
  3. Substitute into equation 1: 2x − 15 = −25, so x = −5
7.Solve the system: 3x + 3y = 15 and 3x − 2y = −15

Answer: x = −1, y = 6

  1. Subtract equation 2 from equation 1: 5y = 30
  2. y = 6
  3. Substitute into equation 1: 3x + 18 = 15, so x = −1
8.Solve the system: 3x + 3y = 39 and 3x − 4y = −10

Answer: x = 6, y = 7

  1. Subtract equation 2 from equation 1: 7y = 49
  2. y = 7
  3. Substitute into equation 1: 3x + 21 = 39, so x = 6
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