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Alenkasestr [34]
3 years ago
8

Find the maximum value of x+y given thatx>=-3y>=5x-93x+y<=15

Mathematics
1 answer:
kotykmax [81]3 years ago
7 0
X ≥ -3
y ≥ 5x - 9
3x + y ≤ 15

3(-3) + (5x - 9) ≤ 15
    -9 + (5x - 9) ≤ 15
    (-9 - 9) + 5x ≤ 15
         -18 + 5x ≤ 15
       <u>+ 18         + 18</u>
                   <u>5x</u> ≤ <u>33</u>
                    5      5
                     x ≤ 6.6
                     y ≤ 5(6.6) - 9
                     y ≤ 33 - 9
                     y ≤ 24
               (x, y) ≤ (6.6, 24)
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