+0  
 
0
60
1
avatar

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 19, 2023
 #1
avatar
0

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, solve for a, b, c, d, e

 

Use eliminations and substitutions to get:

 

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

 May 20, 2023

3 Online Users

avatar
avatar