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Name _____________________________
Date ___________________

Linear Programming
(Answer ID # 1070580)
Solve each system by graphing. Find the vertices of the graph.

1.   x + 6y    -57
3x + y    -18
x - y = -1
5x - 6y    -7



2.   5x - 3y    22
x - y    8
2x    4



3.   4x + 5y    16
11x - 3y    -23
3x + 10y    156
3x - 2y    12



4.   4x + 3y    -8
7x - 2y    15
3x - 5y    -6



5.   3x + y    -3
2x - 3y    -2
2x - y    -10
x - y    -5



6.   x - 2y    12
3x - y    16
x - y    6



7.   6y    -18
4x + y    17
4x - 5y    11



8.   5x    15
3x - y    15
5x - 3y    18
3x - 2y    12



9.   2x - y    -2
2x - 3y    -22
x + y    -1



10.   x - 3y    31
2x + y    6
x + 5y    -15
2x - 3y    35



11.   3x - 5y    31
3x - 4y    23
x + 3y    -14
4x - 3y    34



12.   4x - 3y    8
3y    0
4x    20




 


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