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Need help with system

 

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

 Jun 12, 2023
 #1
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(a,b,c,d,e) = (3,-8,1,4,-7)

 Jun 12, 2023
 #2
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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)

 Jun 12, 2023

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