Algrebra equations -- What is the value of B + O + A + T?

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Homework Help Overview

The discussion revolves around a set of algebraic equations involving variables B, A, T, C, and O. The original poster presents equations that relate these variables and poses the question of determining the value of B + O + A + T.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the relationships between the given equations and question how to derive the desired expression from them. There is a focus on whether the problem can be approached as a linear combination of the provided equations.

Discussion Status

Some participants suggest that the problem can be solved by recognizing the linear relationships among the variables. There is an indication that a specific value for O has been identified, but the method of arriving at the final expression remains a topic of discussion.

Contextual Notes

Participants note that the original question does not require finding all variable values, only the specific combination of B, O, A, and T. There is a mention of a potential misunderstanding regarding the nature of the problem and its requirements.

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Homework Statement


B + A + T = 17
C + A + T = 25
C + O + A + T = 29
What is the value of B + O + A + T?2. The attempt at a solution

O = 4 but how to find the rest?
 
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You are not asked to find the rest, you are asked to find a linear combination of them. There are two options here, either it is a linear combination of the first three and then you can find the answer or it is not and then you cannot.
 
got it! it's 4+17 = 21
 
Correct. Would you mind telling posterity (ie, anyone who finds the thread) how you arrived at this?
 
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