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9th Grade Systems of Equations Worksheet — Level 3 — Practice Set 2 — Answers

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Success TutoringWorksheetsAnswer sheet9th Grade · Mathematics · Simultaneous Equations

9th Grade Systems of Equations Worksheet — Level 3 — Practice Set 2 — Answers

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

1.Solve the system: 3x − 2y = 26 and 3x − 3y = 27

Answer: x = 8, y = −1

  1. Subtract equation 2 from equation 1: y = −1
  2. y = −1
  3. Substitute into equation 1: 3x + 2 = 26, so x = 8
2.Solve the system: 2x + 4y = 20 and 3x − 5y = −3

Answer: x = 4, y = 3

  1. Multiply equation 1 by 3 and equation 2 by 2 to match the x coefficients
  2. 6x + 12y = 60 and 6x − 10y = −6
  3. Subtract: 22y = 66, so y = 3
  4. Substitute back: x = 4
3.Solve the system: 4x + 4y = 4 and 4x − 5y = −59

Answer: x = −6, y = 7

  1. Subtract equation 2 from equation 1: 9y = 63
  2. y = 7
  3. Substitute into equation 1: 4x + 28 = 4, so x = −6
4.Solve the system: 4x + 2y = 36 and 3x + 4y = 47

Answer: x = 5, y = 8

  1. Multiply equation 1 by 3 and equation 2 by 4 to match the x coefficients
  2. 12x + 6y = 108 and 12x + 16y = 188
  3. Subtract: −10y = −80, so y = 8
  4. Substitute back: x = 5
5.Solve the system: 3x − 3y = −24 and 3x − 2y = −19

Answer: x = −3, y = 5

  1. Subtract equation 2 from equation 1: −y = −5
  2. y = 5
  3. Substitute into equation 1: 3x − 15 = −24, so x = −3
6.Solve the system: 2x − y = −16 and 4x + 5y = 24

Answer: x = −4, y = 8

  1. Multiply equation 1 by 4 and equation 2 by 2 to match the x coefficients
  2. 8x − 4y = −64 and 8x + 10y = 48
  3. Subtract: −14y = −112, so y = 8
  4. Substitute back: x = −4
7.Solve the system: 2x − 3y = −14 and 2x + 2y = 16

Answer: x = 2, y = 6

  1. Subtract equation 2 from equation 1: −5y = −30
  2. y = 6
  3. Substitute into equation 1: 2x − 18 = −14, so x = 2
8.Solve the system: 2x − y = 20 and 4x + 2y = 24

Answer: x = 8, y = −4

  1. Multiply equation 1 by 4 and equation 2 by 2 to match the x coefficients
  2. 8x − 4y = 80 and 8x + 4y = 48
  3. Subtract: −8y = 32, so y = −4
  4. Substitute back: x = 8
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