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Find the ordered quintuplet (a,b,c,d,e) that satisfies the system of equations

a + 2b + 3c + 4d + 5e = 67

2a + 3b + 4c + 5d + e = 49

3a + 4b + 5c + d + 2e = 75

4a + 5b + c + 2d + 3e = 78

5a + b + 2c + 3d + 4e = 66

 Sep 7, 2022
 #1
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Use elimination to get:

 

a = 64/15 and b = 103/15 and c = 58/15 and d = -11/15 and e = 121/15

 Sep 10, 2022

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