Name _________________________________________
CHAPTER
5
Date ____________________
Chapter Review
For use after the chapter “Systems of Equations”
Use the graph to solve the linear system.
1. x + 2y = 4
2x + y = –1
2.
2x – y = 3
3x + y = 2
Solve the linear system using substitution.
3. x = 2
3x + 2y = 4
6. 3x – y = 2
y = 2x – 9
3x – 2y = 6
y=3
4.
7.
3x + y = 4
4x – 3y = 1
5. x = y + 1
x + 2y = 7
8.
x + y = 12
3x – 2y = 6
Name _________________________________________
CHAPTER
5
Date ____________________
Chapter Review
continued
For use after the chapter “Systems”
Solve the linear system using elimination.
9. x + y = 4
x–y=6
10.
9x + 2y = 4
9x – y = 25
12. x – 2y = 4
3x + 4y = 2
13. 4x + 3y = 7
7x + 2y = 9
11.
14.
4x – 5y = 22
x + 2y = –1
2x – 3y = 16
3x + 4y = 7
Determine whether the linear system has one solution,
no solution, or infinitely many solutions.
15. y = 2x – 1
y = 2x + 1
16.
3x + y = 12
y = 3x + 12
17.
3x – y = 5
y = 3x – 5
Answers for Systems of Equations
Chapter 5 Review
1. (–2, 3) 2. (1, –1)
3. (2, –1)
4. (4, 3)
5. (3, 2) 6. (–7, –23)
9. (5, –1)
10. (2, –7)
7. (1, 1)
8. (6, 6)
11. (3, –2)
12. (2, –1) 13. (1, 1)
14. (5, –2)
15. no
solution
solutions
16. one solution
17. infinitely many