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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 = 15

3a + 4b + 5c + 1d + 2e = 34

4a + 5b + 1c + 2d + 3e = 68

5a + 1b + 2c + 3d + 4e = 57

 May 26, 2023
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a + 2b + 3c + 4d + 5e = 41

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

3a + 4b + 5c + 1d + 2e = 34

4a + 5b + 1c + 2d + 3e = 68

5a + 1b + 2c + 3d + 4e = 57

 

Use eliminations and substitutions to get:

 

a==91/15,  b==76/15,  c== - 59/15,  d== - 14 / 15,  e==121/15

 May 27, 2023

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