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10th Grade Systems of Equations Worksheet — Level 1 — Practice Set 3 — Answers

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Success TutoringWorksheetsAnswer sheet10th Grade · Mathematics · Simultaneous Equations

10th 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 + y = 4 and x − y = 10

Answer: x = 7, y = −3

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

Answer: x = 5, y = 2

  1. Subtract equation 2 from equation 1: 3y = 6
  2. y = 2
  3. Substitute into equation 1: x + 2 = 7, so x = 5
3.Solve the system: x + y = −12 and x − 4y = 18

Answer: x = −6, y = −6

  1. Subtract equation 2 from equation 1: 5y = −30
  2. y = −6
  3. Substitute into equation 1: x − 6 = −12, so x = −6
4.Solve the system: x + 3y = 19 and x − 3y = −17

Answer: x = 1, y = 6

  1. Subtract equation 2 from equation 1: 6y = 36
  2. y = 6
  3. Substitute into equation 1: x + 18 = 19, so x = 1
5.Solve the system: x + 3y = 15 and x − 4y = −6

Answer: x = 6, y = 3

  1. Subtract equation 2 from equation 1: 7y = 21
  2. y = 3
  3. Substitute into equation 1: x + 9 = 15, so x = 6
6.Solve the system: x + 2y = 8 and x − 4y = 2

Answer: x = 6, y = 1

  1. Subtract equation 2 from equation 1: 6y = 6
  2. y = 1
  3. Substitute into equation 1: x + 2 = 8, so x = 6
7.Solve the system: x + 4y = 19 and x − y = −11

Answer: x = −5, y = 6

  1. Subtract equation 2 from equation 1: 5y = 30
  2. y = 6
  3. Substitute into equation 1: x + 24 = 19, so x = −5
8.Solve the system: x + 3y = 22 and x − 2y = −3

Answer: x = 7, y = 5

  1. Subtract equation 2 from equation 1: 5y = 25
  2. y = 5
  3. Substitute into equation 1: x + 15 = 22, so x = 7
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