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Date ___________________

Linear Programming
(Answer ID # 0170526)
Solve each system by graphing. Find the vertices of the graph.

1.   x - 2y    12
2x - 5y    -10
x + y    -12
6x + 5y    -30



2.   x + y    4
2x + y    24
6x - y    24
3x - 2y    -13



3.   4x + y    -17
2x - 3y    15
5x - 2y    21
4x - 3y    3



4.   3x - 4y    7
x + 5y    -23
2x - 7y    39
x - y    2



5.   x + 6y    -25
5x - 4y    45
5x - 3y    45
x - 2y    23



6.   3x - 4y    6
7x - 5y    -25
2x - 7y    4
11x - 6y    -30



7.   5x + 4y    -16
x + y    1
6x    24
x + 6y    -24



8.   7x - 3y    27
8x - 5y    70
11x - y    61
4x - 7y    26



9.   2x - 3y    6
7x + 2y    -29
8x - y    3
x - 2y = 6



10.   3x - y    -9
9x - 5y    -27
4x - 7y    -55
7x - 6y    -65



11.   x + 2y    10
x - y    -5
x - y    -5
6y    18



12.   5x - 4y    9
10x - 3y    -12
7x - 4y    -16
2x - 5y    7




 


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