Solving System of Equations: Partial Fraction Decomposition Help

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SUMMARY

The forum discussion centers on solving a system of equations related to Partial Fraction Decomposition. The user presents four equations but struggles with substitution and elimination methods. A participant identifies a discrepancy between the equations, specifically pointing out that multiplying the first equation by 5 yields a different result than the last equation. This indicates a potential error in the user's formulation of the equations, emphasizing the importance of verifying initial conditions in mathematical problems.

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Students, educators, and anyone involved in algebra or calculus who seeks to improve their understanding of solving systems of equations and Partial Fraction Decomposition.

khatche4
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Hello. I'm trying to solve a system of equations problem (for my Partial Fraction Decomposition problem)...

1 = -4 + 2B + 2C + D + E
3 = 4 - 2B + 2C - D + E
3 = -25 + 20B + 10C + 4D + 2E
5 = 25 - 20B + 10C - 4D + 2E

So that boils down to..

1 = 2C + E
3 = 2C + E
3 = 10C + 2E
5 = 10C + 2E
right??

I tried substitution, but that didn't work. Elimination doesn't work, either... So what else? I'm pretty sure you can do it graphically, but I can't remember...

Help, please! I'm doing this last minute (I know I shouldn't be, but I desperately need help!)
 
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Something is not right here.

if you multiply your first equation by 5, you get: 5 = 10C + 5E

but your last equation is: 5 = 10C + 2E

So which is it? I think you may have made a mistake somewhere coming up with these equations.
 
What was the original "partial fractions" problem?
 

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