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

a + 2b + 3c + 4d + 5e = 41

2a + 3b + 4c + 5d + e = 57

3a + 4b + 5c + d + 2e = 34

4a + 5b + c + 2d + 3e = 63

5a + b + 2c + 3d + 4e = 15

 
 Nov 20, 2022
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a + 2b + 3c + 4d + 5e = 41

2a + 3b + 4c + 5d + e = 57

3a + 4b + 5c + d + 2e = 34

4a + 5b + c + 2d + 3e = 63

5a + b + 2c + 3d + 4e = 15

 

a = -12/5   and b = 62/5    and c = -3    and d = 37/5    and e = -2/5

 
 Nov 20, 2022

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