Systems of Equations Worksheet Generator
Print practice for solving two linear equations. Each system has a unique integer solution, and the answer key always matches the printed worksheet.
Systems of Equations
Name: Date:
- 1.3x − y = 1
4x + 5y = 52 - 2.4x − 3y = 9
2x + 5y = 63 - 3.3x − 2y = 12
2x + y = 22 - 4.2x − y = -7
4x + y = 13 - 5.3x + 3y = 24
5x + 2y = 37 - 6.x + 3y = 14
5x − y = 22 - 7.3x − 2y = -35
5x + 4y = -7 - 8.3x − 5y = -7
5x − 4y = -3 - 9.5x + 3y = 41
x + 4y = 15 - 10.5x + 3y = 54
2x − 2y = -4 - 11.2x − 3y = 13
2x + 2y = 8 - 12.x − 5y = -22
x + 5y = 38 - 13.2x − 4y = 32
3x − 2y = 24 - 14.5x + 4y = 51
2x + 5y = 51
timvandevall.com© Tim’s Printables LLC · Page 1 of 2
Systems of Equations
Name: Date:
- 15.x + 3y = 30
5x − 3y = 6 - 16.4x − 4y = 12
5x + 3y = -25
timvandevall.com© Tim’s Printables LLC · Page 2 of 2
Systems of Equations — Answer Key
Name: Date:
- 1.3x − y = 1
4x + 5y = 52x = 3, y = 8 - 2.4x − 3y = 9
2x + 5y = 63x = 9, y = 9 - 3.3x − 2y = 12
2x + y = 22x = 8, y = 6 - 4.2x − y = -7
4x + y = 13x = 1, y = 9 - 5.3x + 3y = 24
5x + 2y = 37x = 7, y = 1 - 6.x + 3y = 14
5x − y = 22x = 5, y = 3 - 7.3x − 2y = -35
5x + 4y = -7x = -7, y = 7 - 8.3x − 5y = -7
5x − 4y = -3x = 1, y = 2 - 9.5x + 3y = 41
x + 4y = 15x = 7, y = 2 - 10.5x + 3y = 54
2x − 2y = -4x = 6, y = 8 - 11.2x − 3y = 13
2x + 2y = 8x = 5, y = -1 - 12.x − 5y = -22
x + 5y = 38x = 8, y = 6 - 13.2x − 4y = 32
3x − 2y = 24x = 4, y = -6 - 14.5x + 4y = 51
2x + 5y = 51x = 3, y = 9
timvandevall.com© Tim’s Printables LLC · Page 1 of 2
Systems of Equations — Answer Key
Name: Date:
- 15.x + 3y = 30
5x − 3y = 6x = 6, y = 8 - 16.4x − 4y = 12
5x + 3y = -25x = -2, y = -5
timvandevall.com© Tim’s Printables LLC · Page 2 of 2
Page 1 of 4
Frequently asked questions
- What method should students use?
- The systems are designed to be solvable by substitution or elimination. The answer key gives the (x, y) solution for checking either method.
- Are the answers always integers?
- Yes — every system is built from an integer solution pair, so answers are clean.