Name
LESSON
Date
Class
Homework and Practice
10-6 Systems of Equations
Determine if the ordered pair is a solution of each system of
equations.
1. (1, 3)
y x 2
yx4
2. (1, 2)
y 2x
yx1
3. (3, 5)
xy8
x y 2
4. (1, 4)
x 4y
3x 4y 4
5. (2, 4)
3x 2y 14
2x y
6. (2, 8)
2x y 4
3x y 2
7. (1, 2)
3x y 1
6x 2y 2
8. (0, 0)
y 3x 4
y 3x 4
9. (1, 3)
2x y 5
2x y 1
Solve each system of equations.
10. x y 12
xy0
11. 2x y 10
x y 4
12. x y 8
2x y 4
13. 3x 2y 0
x 2y 8
14. The sum of two numbers is 206. The second number is 48 more
than the first. Find the numbers. Write a system of equations and
solve.
15. Ryan and Juan collect baseball cards. Together they have
880 cards. Juan has 125 less than twice as many as Ryan.
How many cards does each have? Write a system of equations
and solve.
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
84
Holt Middle School Math
Name
LESSON
Date
Class
Homework and Practice
10-6 Systems of Equations
Determine if the ordered pair is a solution of each system of
equations.
1. (1, 3)
y x 2
yx4
2. (1, 2)
y 2x
yx1
3. (3, 5)
xy8
x y 2
yes
yes
4. (1, 4)
x 4y
3x 4y 4
5. (2, 4)
3x 2y 14
2x y
no
7. (1, 2)
3x y 1
6x 2y 2
no
6. (2, 8)
2x y 4
3x y 2
yes
no
9. (1, 3)
2x y 5
2x y 1
8. (0, 0)
y 3x 4
y 3x 4
no
no
yes
Solve each system of equations.
10. x y 12
xy0
11. 2x y 10
x y 4
(6, 6)
(2, 6)
12. x y 8
2x y 4
13. 3x 2y 0
x 2y 8
(4, 4)
(4, 6)
14. The sum of two numbers is 206. The second number is 48 more
than the first. Find the numbers. Write a system of equations and
solve.
x y 206; y x 48; (79,127)
15. Ryan and Juan collect baseball cards. Together they have
880 cards. Juan has 125 less than twice as many as Ryan.
How many cards does each have? Write a system of equations
and solve.
x y 880; y 2x 125; (335,545); Ryan has 335 cards and Juan has
545 cards.
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
84
Holt Middle School Math