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Name _____________________________
Date ___________________

Linear Programming
(Answer ID # 0841606)
Solve each system by graphing. Find the vertices of the graph.

1.   3x + y    -15
2x - y    -10
x + 2y    -10
2.   5x + 2y    -25
3x - 2y    17
x - 6y    27
3.   2x - 3y    -21
x + 4y    6
3x + y    -4
4.   4x + y    5
2x - 3y    -1
x + 2y    10
5.   4x - 5y    -8
x - 4y    9
3x - y    -6
6.   x - 2y    19
3x + 2y    1
5x - 2y    23
7.   4y    -16
2x    4
x - 2y    6
8.   2x - 3y    -6
2y    4
2x - y    2
9.   x - 2y    5
3x - y    5
4x - 3y    5
10.   2x + 3y    -7
x - 3y    28
x + 6y    -26
11.   5x - 3y    40
x - 2y    22
3x + y    10
12.   12x - 7y    114
7x - 8y    43
5x + y    24

 

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