Download 5-2 Practice B and C

Name _______________________________________ Date ___________________ Class __________________
5.2 - Practice B
Solving Systems by Substitution
Solve each system by substitution. Check your answer.
y  x  2
1. 
y  4 x 1
____________________________
2 x  y  6
4. 
 x  y  3
____________________________
3 x  2y  7
7. 
 x  3 y  5
____________________________
y  x  4
2. 
y   x  2
________________________
2 x  y  8
5. 
y  x  7
________________________
2 x  y  0
8. 
5 x  3 y  11
________________________
y  3x 1
3. 
y  5x  3
________________________
2 x  3 y  0
6. 
 x  2y  1
________________________
1
1
2 x  3 y 5
9. 
 1 x  y  10
4
________________________
Write a system of equations to represent the situation. Then, solve
the system by substitution.
10.The length of a rectangle is 3 more than its width. The perimeter
of the rectangle is 58 cm. What are the rectangle’s dimensions?
____________________________________________________________
11.Fiedler and Declan work in a men’s clothing store. They earn
commission from each suit and each pair of shoes they sell.
For selling 3 suits and one pair of shoes, Fiedler has earned
$47 in commission. For selling 7 suits and 2 pairs of shoes,
Declan has earned $107 in commission. How much do the
salespeople earn for the sale of a suit? For the sale of a pair
of shoes?
___________________________________________________________
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Algebra 1
Name _______________________________________ Date ___________________ Class __________________
5.2 - Practice C
Solving Systems by Substitution
Solve each system by substitution. Check your answer.
y  x  6
1. 
y  2x  8
____________________________
 x  y  3
4. 
 x  y  1
____________________________
4 x  y  3.4
7. 
 x  4y
____________________________
y  x  4
2. 
 y  2 x  5
y  2x  8
3. 
y  8
________________________
4 x  2y  2
5. 
y  6x  5
________________________
1
 x  y 1
6.  2
1 x y
3
________________________
1

x   y  5
8. 
4
3 x  2y  0
________________________
3 x   y  10
9. 
2x  3y  12
________________________
________________________
Solve.
10. The sum of two numbers is 39. The greater number is 5 less
than 3 times the smaller number. What are the two numbers?
_____________________________________
11. Troy has dimes and quarters in his pocket. There are 28 coins
in all, and they are worth $4.60 altogether. How many quarters
does Troy have?
_____________________________________
12. At a pet store, Ricki paid $11.50 for 3 dog bowls and 4 bones.
Tamra paid $13 for 2 dog bowls and 8 bones. How much will Andrew
pay for 4 dog bowls and 2 bones?
______________________________________
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Algebra 1
Name _______________________________________ Date ___________________ Class __________________
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Algebra 1