Pregunta
Decide whether 6 is a solution of the equation \( 7(c-8)=-14 \). Is 6 a solution of \( 7(c-8)=-14 \) ? No Yes
Ask by Vaughan Norton. in the United States
Feb 03,2025
Solución de tutoría real
Respuesta verificada por el tutor
Responder
Yes, \( c = 6 \) is a solution to the equation \( 7(c - 8) = -14 \).
Solución
To determine whether \( c = 6 \) is a solution to the equation \( 7(c - 8) = -14 \), let's substitute \( 6 \) for \( c \) and see if the equation holds true.
**Step-by-Step Verification:**
1. **Substitute \( c = 6 \) into the equation:**
\[
7(6 - 8) = -14
\]
2. **Calculate the expression inside the parentheses:**
\[
6 - 8 = -2
\]
3. **Multiply by 7:**
\[
7 \times (-2) = -14
\]
4. **Compare both sides of the equation:**
\[
-14 = -14
\]
The left side equals the right side.
**Conclusion:**
Yes, \( c = 6 \) is a solution to the equation \( 7(c - 8) = -14 \).
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Simplifique esta solución Mind Expander
To determine if 6 is a solution of the equation \( 7(c-8)=-14 \), we can substitute \( c = 6 \) into the equation. This gives us \( 7(6-8) = 7(-2) = -14 \), which is true. So yes, 6 is indeed a solution! This equation is a simple linear equation in one variable. To solve it, you'd typically start by distributing and isolating the variable, showing just how straightforward it can be to solve for unknowns in math. Plus, solving equations like this is foundational for more complex algebra!
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