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Name _____________________________
Date ___________________

Linear Programming
(Answer ID # 0119317)
Solve each system by graphing. Find the vertices of the graph.
3
  -
7
5
2
  -		1
6
84
9

 

down 1.

3x + 2y    9
2x - 3y    -7
4x + y    -21
5x - 7y    15
Answer:
Graph of Quadrilateral:
(____,?), (1, 3), (-5, -1), (-4, -5)

 down 2.

4x - 5y    0
x - 5y    16
7x - 4y    19
x - y    0
Answer:
Graph of Quadrilateral:
(5, 4), (1, -3), (?,____), (0, 0)

 down 3.

2x - y    -5
2x - 3y    -7
6y    -18
2x + 7y    -17
Answer:
Graph of Quadrilateral:
(____,?), (-5, -1), (2, -3), (-4, -3)
down 4.

9x - 8y    62
3x + 2y    -10
7x - 4y    46
5x - 2y    10
Answer:
Graph of Quadrilateral:
(____,?), (2, -8), (6, -1), (-2, -10)

 down 5.

x + y    -1
5x + 7y    111
2x - 3y    -2
18x    72
Answer:
Graph of Quadrilateral:
(-1, 0), (?,____), (4, 13), (4, -5)

 across 2.

3x - 5y    14
2x - y    0
11x - 5y    2
x - y    4
Answer:
Graph of Quadrilateral:
(2, 4), (-2, -4), (3, -1), (____,?)
across 6.

10x - 3y    6
6x - 5y    10
9x - 2y    37
13x    39
Answer:
Graph of Quadrilateral:
(3, 8), (0, -2), (?,____), (3, -5)

 across 7.

5x - 4y    12
5x    0
x + y    -8
x - y    2
Answer:
Graph of Quadrilateral:
(?,____), (0, -3), (0, -8), (-3, -5)

 across 8.

3x + 2y    13
10x - 3y    82
4x - y    21
5x + 2y    62
Answer:
Graph of Quadrilateral:
(8, 11), (____,?), (7, -4), (5, -1)
across 9.

x - y    6
12x - 5y    128
7x - 3y    38
17x - 2y    161
Answer:
Graph of Quadrilateral:
(11, 13), (____,?), (14, 8), (9, -4)

 

Answer Key
-
2
8
-3
4
10
5
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