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Par   •  3 Décembre 2017  •  Chronologie  •  653 Mots (3 Pages)  •  657 Vues

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A.

10x – 3y + 94 ≥ 0 4x + y – 68 ≥ 0

3 (4x + y – 68) ≥ 3 (0)

10x – 3y + 94 = 0 12x + 3y – 204 = 0

10x – 3y + 94 = 0

+

12x + 3y – 204 = 0

22x – 110 = 0

22x = 110

=

x = 5

10x – 3y + 94 ≥ 0

10 (5) – 3y + 94 = 0

50 – 3y + 94 = 0

-3y = -94 – 50

-3y = -144

=

y = 48

B.

10x – 3y + 94 ≥ 0 11x + 4y – 320 ≤ 0

4 (10x – 3y + 94) ≥ 0 (3) 11x + 4y – 320 ≤ 0

40x – 12y + 376 = 0 33x + 12y – 960 = 0

40x – 12y + 376 = 0

+

33x + 12y – 960 = 0

73x – 584 = 0

73x = 584

=

x = 8

10x – 3y + 94 ≥ 0

10 (8) – 3y + 94 = 0

80 – 3y + 94 = 0

-3y = -94 – 80

-3y = -174

=

y = 58

C.

4x – 3y + 44 ≤ 0 11x + 4y – 320 ≤ 0

4 (4x – 3y + 44) ≥ 0 (3) 11x + 4y – 320 ≤ 0

16x – 12y + 176 = 0 33x + 12y – 960 = 0

16x – 12y + 176 = 0

+

33x + 12y – 960 = 0

49x – 784 = 0

49x = 784

=

x = 16

4x – 3y + 44 ≤ 0

4 (16) – 3y + 44 = 0

64 – 3y + 44 = 0

-3y = -44 – 64

=

y = 36

D.

4x + y – 68 ≥ 0 4x – 3y + 44 ≤ 0

-1 (4x + y – 68) ≥ 0

-4x – y + 68 = 0

...

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