SOLUTION: 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 = 34
3a+4b+5c =15
4a+5b = 16
5a = 20
Algebra.Com
Question 1209399: 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 = 34
3a+4b+5c =15
4a+5b = 16
5a = 20
Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!
Start at the bottom and work your way up.
5a = 20 means a = 4
4a+5b = 16 leads to 4*4+5b = 16 which yields b = 0
3a+4b+5c = 15 leads to 3*4+4*0+5c = 15 which yields c = 3/5
And so on.
The solution you should end up at is (a, b, c, d, e) = (4, 0, 3/5, 118/25, 408/125)
3/5 = 0.6
118/25 = 4.72
408/125 = 3.264
Each decimal value is exact and hasn't been rounded.
RELATED QUESTIONS
I have a 4x4 system of equations that I need help solving.
2a+6b-4c+2d=-20
a+3c-4d=9
(answered by addingup)
2a + 3b + c + 2d = 20
4a + b + 2c + 5d = 50
a + 2b + 3c + d = 10
2a + 4b + 2c + 3d =... (answered by Fombitz,richwmiller,sonic1)
Solve the simultaneous equations
a + b + c + d = 0
2a - 2b + 3c - 3d = 0
9a + 9b + 4c... (answered by Alan3354)
Solve the system of equations using matrices.
3a- b - 4c= 7
2a- b + 3c= -2
a+ 2b +... (answered by Fombitz)
Can you help me solve this system of equations for a,b,c and d:
2a-4b+6c-2d=-6... (answered by Edwin McCravy,ikleyn)
How would you solve this 4x4 system of equations:
a - 3b - 3c + 2d= -14
4a + 2c - 6d... (answered by Fombitz)
I need help with the following: (my son asked me to help but I'm VERY rusty)
3A + B +... (answered by askmemath)
several customers order small fruit baskets made of apples, bananas, and oranges. Let a... (answered by ikleyn)
Solve for a, b, and c in the following system of equations:
4b - c = -10
a - 2b = 5
(answered by Fombitz)