Name _______________________________________ Date __________________ Class __________________
Practice A
Solving Systems by Elimination
Fill in the blanks to solve each system by elimination.
 x  3y  14
1. 
2x  3y  8
Add the equations:
x  3y  14
2x  3y  28
2x  2y  4
2. 
3x  2y  7
Subtract the equations:
2x  2y  4
 ( 3x  2y  7 )
3x  ____ 6
____
or
6
3x  4y  26
3. 
 x  2y  8
Multiply the second
equation by 2. Then,
add the equations:
 3x  4y  26

2( x  2y  8
2x  2y  4
3x___  ___
 ____  ____
x  _____
x ___  ___
3x  4y  26
 ___ x ___ y  ___
___
x  ___
Substitute ___ for x in
___
 ____  ____
one of the equations:
x  3y  14
x  0  ___
x  ___
 ____  ____
x  _____
x  _____
 3y  14
Substitute ___ for x in
Substitute ___ for x in
 _____  _____
one of the equations:
one of the equations:
___
3y  _______
3x  2y  7
3 3
3( ___ )  2y  7
y  _____
____
 2y  7
______  ______
Solution: ( ___, ___ )
x  2y  8
____
 2y  8
____  ____
2y  ____
2y  ____
 ____  ____
 ____  ____
y  ____
y  ______
Solution: ( ___, ___ )
Solution: ( ___, ___ )
Solve each system by elimination.
3x  2y  1
4. 
2x  2y  14
________________________

5 . x  y  4
3x  y  16
________________________
3x  2y  26
6. 
2x  6y  10
________________________
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 __________________
7. The sum of two numbers is 1. When twice the first number
and four times the second number are added, the sum is 10.
What are the two numbers?
___________________________
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 __________________
Practice A
Solving Systems by Elimination
Fill in the blanks to solve each system by elimination.

1.  x  3y  14
2x  3y  8
Add the equations:
x  3y  14
2x  3y  28

2. 2x  2y  4
3x  2y  7
Subtract the equations:
2x  2y  4
 ( 3x  2y  7 )
3x  ____ 6
____
or
6

3. 3x  4y  26
 x  2y  8
Multiply the second
equation by 2. Then,
add the equations:
 3x  4y  26

2( x  2y  8
2x  2y  4
3x___  ___
 ____  ____
x  _____
x ___  ___
3x  4y  26
 ___ x ___ y  ___
___
x  ___
Substitute ___ for x in
___
 ____  ____
one of the equations:
x  3y  14
x  0  ___
x  ___
 ____  ____
x  _____
x  _____
 3y  14
Substitute ___ for x in
Substitute ___ for x in
 _____  _____
one of the equations:
one of the equations:
___
3y  _______
3x  2y  7
3 3
3( ___ )  2y  7
y  _____
____
 2y  7
______  ______
Solution: ( ___, ___ )
x  2y  8
____
 2y  8
____  ____
2y  ____
2y  ____
 ____  ____
 ____  ____
y  ____
y  ______
Solution: ( ___, ___ )
Solution: ( ___, ___ )
Solve each system by elimination.
3x  2y  1
4. 
2x  2y  14

5 . x  y  4
3x  y  16
7. The sum of two numbers is 1. When twice the first number
and four times the second number are added, the sum is 10.
What are the two numbers?
3x  2y  26
6. 
2x  6y  10
___________________________
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Algebra 1