Pregunta
\( \left. \begin{array} { | l l | l l } \hline 11 & { - 8 m - 9 = 15 } & { 12 } & { - 3 = \frac { 4 + p } { 5 } } \end{array} \right. \)
Ask by Garza Warner. in the United States
Jan 24,2025
Solución de tutoría real
Respuesta verificada por el tutor
Responder
\( m = -3 \) and \( p = -19 \).
Solución
Sure, let's solve the given equations step by step.
You provided the following system of equations:
\[
\begin{array}{|l l|l l|}
\hline
11 & -8m - 9 = 15 & 12 & -3 = \frac{4 + p}{5} \\
\hline
\end{array}
\]
It appears that **Equation 11** and **Equation 12** are to be solved for variables \( m \) and \( p \) respectively. Let's tackle each one individually.
---
### **Equation 11:**
\[
-8m - 9 = 15
\]
**Step 1:** Add 9 to both sides to isolate the term with \( m \).
\[
-8m = 15 + 9
\]
\[
-8m = 24
\]
**Step 2:** Divide both sides by -8 to solve for \( m \).
\[
m = \frac{24}{-8}
\]
\[
m = -3
\]
**Solution:** \( m = -3 \)
---
### **Equation 12:**
\[
-3 = \frac{4 + p}{5}
\]
**Step 1:** Multiply both sides by 5 to eliminate the denominator.
\[
-3 \times 5 = 4 + p
\]
\[
-15 = 4 + p
\]
**Step 2:** Subtract 4 from both sides to solve for \( p \).
\[
-15 - 4 = p
\]
\[
-19 = p
\]
**Solution:** \( p = -19 \)
---
### **Final Answers:**
- **\( m = -3 \)**
- **\( p = -19 \)**
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Mind Expander
To solve the first equation, \( -8m - 9 = 15 \), we first isolate the variable \(m\). Adding 9 to both sides gives us \( -8m = 24 \). Dividing both sides by -8, we find \( m = -3 \). Now, for the second equation, \( -3 = \frac{4 + p}{5} \), we start by multiplying both sides by 5 to eliminate the fraction, resulting in \( -15 = 4 + p \). Subtracting 4 from both sides yields \( p = -19 \). So, our solutions are \( m = -3 \) and \( p = -19 \).
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