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

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The discussion centers on solving the algebraic equation B + O + A + T, given the equations B + A + T = 17, C + A + T = 25, and C + O + A + T = 29. The value of O is determined to be 4, leading to the conclusion that B + O + A + T equals 21. The solution is derived through a linear combination of the provided equations, specifically by manipulating the equations to isolate O and substituting back into the original equation.

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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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