Math Problem Statement
If a=13968 b+c=7916 d+e=6836 e+f=10872 f+g=15808 g+h=16487 h+i=22924 c+i=19123 a+h=21988 d+g=6610 what is the value of b
Solution
To solve for , we will systematically use the given equations and simplify:
- Given:
Step 1: Solve for
From :
Step 2: Solve for
From :
Step 3: Solve for
From :
Step 4: Solve for
From :
Final Answer:
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Related Questions:
- How would you calculate , , , and in this problem?
- What is the sum of all the variables in the given equations?
- Can these equations be represented and solved using matrix algebra?
- What are the relationships between and other variables in the system?
- How would you interpret this problem geometrically or in terms of a graph?
Tip:
When solving systems of equations, organize variables and known values clearly
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Math Problem Analysis
Mathematical Concepts
Algebra
Systems of Linear Equations
Formulas
Substitution and elimination in systems of equations
Theorems
Additive property of equality
Suitable Grade Level
Grades 9-11
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