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10th Grade Systems of Equations Worksheet — Level 2 — Practice Set 3 — Answers

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Success TutoringWorksheetsAnswer sheet10th Grade · Mathematics · Simultaneous Equations

10th 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: 4x + 4y = −12 and 4x − y = −7

Answer: x = −2, y = −1

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

Answer: x = 3, y = 4

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

Answer: x = −6, y = 8

  1. Subtract equation 2 from equation 1: 3y = 24
  2. y = 8
  3. Substitute into equation 1: 2x + 16 = 4, so x = −6
4.Solve the system: 4x + 2y = −6 and 4x − 4y = −12

Answer: x = −2, y = 1

  1. Subtract equation 2 from equation 1: 6y = 6
  2. y = 1
  3. Substitute into equation 1: 4x + 2 = −6, so x = −2
5.Solve the system: 2x + 2y = 26 and 2x − y = 2

Answer: x = 5, y = 8

  1. Subtract equation 2 from equation 1: 3y = 24
  2. y = 8
  3. Substitute into equation 1: 2x + 16 = 26, so x = 5
6.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
7.Solve the system: 4x + 3y = 21 and 4x − 2y = 26

Answer: x = 6, y = −1

  1. Subtract equation 2 from equation 1: 5y = −5
  2. y = −1
  3. Substitute into equation 1: 4x − 3 = 21, so x = 6
8.Solve the system: 3x + 3y = 15 and 3x − 2y = 30

Answer: x = 8, y = −3

  1. Subtract equation 2 from equation 1: 5y = −15
  2. y = −3
  3. Substitute into equation 1: 3x − 9 = 15, so x = 8
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