15-12 provide full explaination and step by step

Sure, let's go through the detailed steps and explanations for solving equations 15 to 12 step-by-step.

### Equation 15: \( N \times 22 = 550 \)

**Step 1: Write down the equation.**
\[ N \times 22 = 550 \]

**Step 2: Isolate \( N \) by dividing both sides of the equation by 22.**
\[ N = \frac{550}{22} \]

**Step 3: Perform the division.**
\[ \frac{550}{22} = 25 \]

**Solution:**
\[ N = 25 \]

### Equation 14: \( N \times 39 = 546 \)

**Step 1: Write down the equation.**
\[ N \times 39 = 546 \]

**Step 2: Isolate \( N \) by dividing both sides of the equation by 39.**
\[ N = \frac{546}{39} \]

**Step 3: Perform the division.**
\[ \frac{546}{39} = 14 \]

**Solution:**
\[ N = 14 \]

### Equation 13: \( 18 \times N = 252 \)

**Step 1: Write down the equation.**
\[ 18 \times N = 252 \]

**Step 2: Isolate \( N \) by dividing both sides of the equation by 18.**
\[ N = \frac{252}{18} \]

**Step 3: Perform the division.**
\[ \frac{252}{18} = 14 \]

**Solution:**
\[ N = 14 \]

### Equation 12: \( 13 \times N = 481 \)

**Step 1: Write down the equation.**
\[ 13 \times N = 481 \]

**Step 2: Isolate \( N \) by dividing both sides of the equation by 13.**
\[ N = \frac{481}{13} \]

**Step 3: Perform the division.**
\[ \frac{481}{13} \approx 37 \]

**Solution:**
\[ N \approx 37 \]

### Equation 11: \( N \times 38 = 494 \)

**Step 1: Write down the equation.**
\[ N \times 38 = 494 \]

**Step 2: Isolate \( N \) by dividing both sides of the equation by 38.**
\[ N = \frac{494}{38} \]

**Step 3: Perform the division.**
\[ \frac{494}{38} = 13 \]

**Solution:**
\[ N = 13 \]

### Equation 10: \( N \times 21 = 693 \)

**Step 1: Write down the equation.**
\[ N \times 21 = 693 \]

**Step 2: Isolate \( N \) by dividing both sides of the equation by 21.**
\[ N = \frac{693}{21} \]

**Step 3: Perform the division.**
\[ \frac{693}{21} = 33 \]

**Solution:**
\[ N = 33 \]

Would you like further details on any specific step, or do you have any additional questions?

Here are 5 questions you might ask:
1. Can you explain the division process in more detail?
2. How can I verify the solutions to these equations?
3. What are some strategies for solving equations with larger numbers?
4. Are there any common patterns in these types of problems?
5. How do these types of problems apply to real-world scenarios?

**Tip:** Always recheck your division by multiplying the solution back with the original factor to ensure the equation balances.

Detailed step-by-step solutions for equations 15 to 12. Learn how to isolate variables and perform division to find solutions. Suitable for high school students studying algebra and basic arithmetic.

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