Devoir de mathématiques
Chronologie : Devoir de mathématiques. Recherche parmi 300 000+ dissertationsPar MIAOU01 • 3 Décembre 2017 • Chronologie • 653 Mots (3 Pages) • 670 Vues
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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