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

[Natasha1]

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?

 

[Orodruin]

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.

 

[Natasha1]

got it! it's 4+17 = 21

 

[Orodruin]

Correct. Would you mind telling posterity (ie, anyone who finds the thread) how you arrived at this?

 

[Natasha1]

sure...

C + O + A + T - (C + A + T) = 29 - (C + A + T)
because C + A + T = 25 therefore
0 = 4

Reference https://www.physicsforums.com/threads/algrebra-equations.926750/

 

[Orodruin]

sure...

C + O + A + T - (C + A + T) = 29 - (C + A + T)
because C + A + T = 25 therefore
0 = 4

Reference https://www.physicsforums.com/threads/algrebra-equations.926750/

With the last step being B + O + A + T = (B+A+T) + O = 17 + 4.

 

[Natasha1]

yep