Success TutoringWorksheets

11th Grade Systems of Equations Worksheet — Level 2 — Practice Set 4 — Answers

Answer sheet with worked solutions for the 11th Grade systems of equations worksheet.

Download answers PDFPrint answersBack to worksheet
Success TutoringWorksheetsAnswer sheet11th Grade · Mathematics · Simultaneous Equations

11th Grade Systems of Equations Worksheet — Level 2 — Practice Set 4 — Answers

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

1.Solve the system: 4x + 4y = −20 and 4x − 3y = 8

Answer: x = −1, y = −4

  1. Subtract equation 2 from equation 1: 7y = −28
  2. y = −4
  3. Substitute into equation 1: 4x − 16 = −20, so x = −1
2.Solve the system: 3x + 3y = −6 and 3x − y = −22

Answer: x = −6, y = 4

  1. Subtract equation 2 from equation 1: 4y = 16
  2. y = 4
  3. Substitute into equation 1: 3x + 12 = −6, so x = −6
3.Solve the system: 4x + y = −9 and 4x − 2y = 6

Answer: x = −1, y = −5

  1. Subtract equation 2 from equation 1: 3y = −15
  2. y = −5
  3. Substitute into equation 1: 4x − 5 = −9, so x = −1
4.Solve the system: 3x + y = 10 and 3x − 2y = 7

Answer: x = 3, y = 1

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

Answer: x = −6, y = 6

  1. Subtract equation 2 from equation 1: 3y = 18
  2. y = 6
  3. Substitute into equation 1: 3x + 6 = −12, so x = −6
6.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
7.Solve the system: 2x + y = 8 and 2x − 3y = −16

Answer: x = 1, y = 6

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

Answer: x = 8, y = 2

  1. Subtract equation 2 from equation 1: 6y = 12
  2. y = 2
  3. Substitute into equation 1: 2x + 4 = 20, so x = 8
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: