Pregunta
\( 0=4+\frac{n}{5} \) \( -4=\frac{r}{20}-5 \) Solve each equation. Fill in the missing number.
Ask by Kelly Murray. in Canada
Mar 18,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
\( n = -20 \) and \( r = 20 \).
Solución
Solve the equation by following steps:
- step0: Solve for \(r\):
\(-4=\frac{r}{20}-5\)
- step1: Swap the sides:
\(\frac{r}{20}-5=-4\)
- step2: Move the constant to the right side:
\(\frac{r}{20}=-4+5\)
- step3: Add the numbers:
\(\frac{r}{20}=1\)
- step4: Cross multiply:
\(r=20\)
Solve the equation \( 0=4+\frac{n}{5} \).
Solve the equation by following steps:
- step0: Solve for \(n\):
\(0=4+\frac{n}{5}\)
- step1: Swap the sides:
\(4+\frac{n}{5}=0\)
- step2: Move the constant to the right side:
\(\frac{n}{5}=0-4\)
- step3: Remove 0:
\(\frac{n}{5}=-4\)
- step4: Cross multiply:
\(n=5\left(-4\right)\)
- step5: Simplify the equation:
\(n=-20\)
Let's solve each equation step by step:
1. **First Equation:**
\[
0 = 4 + \frac{n}{5}
\]
To isolate \( n \), we can subtract 4 from both sides:
\[
0 - 4 = \frac{n}{5} \implies -4 = \frac{n}{5}
\]
Next, we multiply both sides by 5 to solve for \( n \):
\[
n = -4 \times 5 = -20
\]
2. **Second Equation:**
\[
-4 = \frac{r}{20} - 5
\]
To isolate \( r \), we first add 5 to both sides:
\[
-4 + 5 = \frac{r}{20} \implies 1 = \frac{r}{20}
\]
Now, we multiply both sides by 20 to solve for \( r \):
\[
r = 1 \times 20 = 20
\]
Thus, the solutions are:
- \( n = -20 \)
- \( r = 20 \)
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Beyond the Answer
To solve the first equation \( 0=4+\frac{n}{5} \), we can start by isolating \( n \). Subtract 4 from both sides to get: \[ -4 = \frac{n}{5} \] Next, multiply both sides by 5 to find \( n \): \[ n = -20 \] Now for the second equation \( -4 = \frac{r}{20}-5 \), start by adding 5 to both sides: \[ 1 = \frac{r}{20} \] Then multiply both sides by 20 to isolate \( r \): \[ r = 20 \] So, the missing numbers are \( n = -20 \) and \( r = 20 \).

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