Success TutoringWorksheets

9th Grade Systems of Equations Worksheet — Level 1 — Answers

Answer sheet with worked solutions for the 9th Grade systems of equations worksheet.

Download answers PDFPrint answersBack to worksheet
Success TutoringWorksheetsAnswer sheet9th Grade · Mathematics · Simultaneous Equations

9th Grade Systems of Equations Worksheet — Level 1 — Answers

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

1.Solve the system: x + 4y = 11 and x − 3y = −3

Answer: x = 3, y = 2

  1. Subtract equation 2 from equation 1: 7y = 14
  2. y = 2
  3. Substitute into equation 1: x + 8 = 11, so x = 3
2.Solve the system: x + y = 10 and x − 4y = 0

Answer: x = 8, y = 2

  1. Subtract equation 2 from equation 1: 5y = 10
  2. y = 2
  3. Substitute into equation 1: x + 2 = 10, so x = 8
3.Solve the system: x + y = −1 and x − y = −7

Answer: x = −4, y = 3

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

Answer: x = 7, y = 1

  1. Subtract equation 2 from equation 1: 6y = 6
  2. y = 1
  3. Substitute into equation 1: x + 2 = 9, so x = 7
5.Solve the system: x + 4y = 31 and x − y = −4

Answer: x = 3, y = 7

  1. Subtract equation 2 from equation 1: 5y = 35
  2. y = 7
  3. Substitute into equation 1: x + 28 = 31, so x = 3
6.Solve the system: x + 4y = 19 and x − 2y = −17

Answer: x = −5, y = 6

  1. Subtract equation 2 from equation 1: 6y = 36
  2. y = 6
  3. Substitute into equation 1: x + 24 = 19, so x = −5
7.Solve the system: x + 4y = −20 and x − 2y = 16

Answer: x = 4, y = −6

  1. Subtract equation 2 from equation 1: 6y = −36
  2. y = −6
  3. Substitute into equation 1: x − 24 = −20, so x = 4
8.Solve the system: x + 2y = −7 and x − y = 11

Answer: x = 5, y = −6

  1. Subtract equation 2 from equation 1: 3y = −18
  2. y = −6
  3. Substitute into equation 1: x − 12 = −7, so x = 5
Free worksheets at worksheets.successtutoring.com · © Success Tutoring · Free for personal and classroom use

Marking tips

  • Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
  • For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
  • Celebrate what went well first, then pick one thing to work on next.

Great work. Here's what to try next: