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

Answer sheet with worked solutions for the 10th Grade systems of equations worksheet.

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Success TutoringWorksheetsAnswer sheet10th Grade · Mathematics · Simultaneous Equations

10th 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: 3x + 3y = 3 and 3x − y = 15

Answer: x = 4, y = −3

  1. Subtract equation 2 from equation 1: 4y = −12
  2. y = −3
  3. Substitute into equation 1: 3x − 9 = 3, so x = 4
2.Solve the system: 2x + 3y = 16 and 2x − 4y = −12

Answer: x = 2, y = 4

  1. Subtract equation 2 from equation 1: 7y = 28
  2. y = 4
  3. Substitute into equation 1: 2x + 12 = 16, so x = 2
3.Solve the system: 4x + y = 35 and 4x − 4y = 0

Answer: x = 7, y = 7

  1. Subtract equation 2 from equation 1: 5y = 35
  2. y = 7
  3. Substitute into equation 1: 4x + 7 = 35, so x = 7
4.Solve the system: 3x + 2y = 24 and 3x − 4y = −12

Answer: x = 4, y = 6

  1. Subtract equation 2 from equation 1: 6y = 36
  2. y = 6
  3. Substitute into equation 1: 3x + 12 = 24, so x = 4
5.Solve the system: 3x + 3y = −30 and 3x − 2y = −10

Answer: x = −6, y = −4

  1. Subtract equation 2 from equation 1: 5y = −20
  2. y = −4
  3. Substitute into equation 1: 3x − 12 = −30, so x = −6
6.Solve the system: 3x + 4y = 31 and 3x − 5y = −5

Answer: x = 5, y = 4

  1. Subtract equation 2 from equation 1: 9y = 36
  2. y = 4
  3. Substitute into equation 1: 3x + 16 = 31, so x = 5
7.Solve the system: 4x + y = 16 and 4x − 4y = −4

Answer: x = 3, y = 4

  1. Subtract equation 2 from equation 1: 5y = 20
  2. y = 4
  3. Substitute into equation 1: 4x + 4 = 16, so x = 3
8.Solve the system: 2x + y = −10 and 2x − 2y = 2

Answer: x = −3, y = −4

  1. Subtract equation 2 from equation 1: 3y = −12
  2. y = −4
  3. Substitute into equation 1: 2x − 4 = −10, so x = −3
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