Use the equation below to find a, if b = 11 and c = 13. a = 28 - b - c
Understand the Problem
The question is asking us to solve for the variable 'a' using the given equation by substituting the values of 'b' and 'c'.
Answer
The value of \( a \) is \( 4 \).
Answer for screen readers
The final answer is ( a = 4 ).
Steps to Solve
- Substitute the values of b and c into the equation
We start by substituting the given values ( b = 11 ) and ( c = 13 ) into the equation ( a = 28 - b - c ).
- Perform the substitution
Replace ( b ) and ( c ) in the equation: $$ a = 28 - 11 - 13 $$
- Calculate the result
Now, simplify the right-hand side: First, calculate ( 28 - 11 ): $$ 28 - 11 = 17 $$
Then, subtract ( c ): $$ 17 - 13 = 4 $$
Thus, we find: $$ a = 4 $$
The final answer is ( a = 4 ).
More Information
This problem demonstrates basic algebraic principles, specifically the substitution of values into an equation to solve for a variable.
Tips
- Forgetting to correctly substitute the values of ( b ) and ( c ).
- Making arithmetic errors when performing the subtraction.
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