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Name _____________________________
Date ___________________

Linear Programming
(Answer ID # 0603600)
Solve each system by graphing. Find the vertices of the graph.
5
  -		7
1
  -		3
  -		2
6
4

 

down 1.

x - y    6
2x    6
3x - 4y    24
x - y    8
Answer:
Graph of Quadrilateral:
(3, -3), (3, -5), (8, 0), (?,____)

 down 2.

x + y    0
2x - 3y    15
x - 9y    0
Answer:
Graph of Triangle:
(0, 0), (3, -3), (?,____)

 down 3.

7y    -21
3x + 2y    6
3x - 5y    6
Answer:
Graph of Triangle:
(2, 0), (____,?), (4, -3)
down 4.

4x + y    6
11x - 5y    -30
3x - y    -10
10x - 7y    -4
Answer:
Graph of Quadrilateral:
(-5, -5), (-6, -8), (?,____), (0, 6)

 down 5.

4x + y    -24
4x - 5y    24
6y    -24
Answer:
Graph of Triangle:
(1, -4), (-5, -4), (?,____)

 across 1.

x + 4y    -13
5x + y    -8
4x - 3y    24
Answer:
Graph of Triangle:
(0, -8), (?,____), (-1, -3)
across 3.

x - 3y    14
x + 6y    -22
2x + 3y    -17
Answer:
Graph of Triangle:
(2, -4), (-4, -3), (____,?)

 across 6.

3x - 2y    -11
x - 2y    -5
4y    16
Answer:
Graph of Triangle:
(-3, 1), (____,?), (-1, 4)

 across 7.

5x - 3y    13
13x - 7y    133
15x - y    111
2x - 3y    7
Answer:
Graph of Quadrilateral:
(?,____), (7, -6), (8, 9), (2, -1)

 

Answer Key
-7
8
-4-1
63
2
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