Cook Pearson
06/07/2023 · Elementary School
a) \( 8-(a-\beta)+(a-5-\beta)=3 \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To solve the equation \( 8 - (a - \beta) + (a - 5 - \beta) = 3 \), we can start by simplifying the left-hand side.
1. Distribute the negative sign:
\[
8 - a + \beta + a - 5 - \beta = 3
\]
2. Combine like terms:
- The \( a \) and \( -a \) cancel each other out.
- The \( \beta \) and \( -\beta \) also cancel each other out.
- Combine the constants:
\[
8 - 5 = 3
\]
So the equation simplifies to:
\[
3 = 3
\]
This is a true statement, which means that the original equation holds for all values of \( a \) and \( \beta \). Therefore, there are infinitely many solutions, and \( a \) and \( \beta \) can take any real values.
Quick Answer
The equation holds for all values of \( a \) and \( \beta \).
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