🕯️×4=__
5-🕯️=__
🕯️×🕯️+1=__
🕯️÷🕯️=__
🕯️+🕯️+🕯️=__
🕯️-1=__

Let's solve the system of equations step by step. The symbol "🕯️" represents a variable, which we will call \( x \).

Given equations:
1. \( x \times 4 = \_\_\_\_\_ \) 
2. \( 5 - x = \_\_\_\_\_ \) 
3. \( x \times x + 1 = \_\_\_\_\_ \)
4. \( \frac{x}{x} = \_\_\_\_\_ \)
5. \( x + x + x = \_\_\_\_\_ \)
6. \( x - 1 = \_\_\_\_\_ \)

### Step 1: Solve for \( x \)
Let's look at equation 4 first:
\[ \frac{x}{x} = 1 \]
This equation tells us that \( x \) cannot be zero, as division by zero is undefined. Otherwise, \( x = x \) for any nonzero \( x \), and the result is 1.

### Step 2: Plugging in the assumed value of \( x = 1 \)
Now let's assume \( x = 1 \) and verify by plugging it into the other equations:

1. \( 1 \times 4 = 4 \)
2. \( 5 - 1 = 4 \)
3. \( 1 \times 1 + 1 = 2 \)
4. \( \frac{1}{1} = 1 \)
5. \( 1 + 1 + 1 = 3 \)
6. \( 1 - 1 = 0 \)

### Step 3: Verify solutions
All of these equations hold true under the assumption that \( x = 1 \). Therefore, the solutions are:

1. \( 1 \times 4 = 4 \)
2. \( 5 - 1 = 4 \)
3. \( 1 \times 1 + 1 = 2 \)
4. \( \frac{1}{1} = 1 \)
5. \( 1 + 1 + 1 = 3 \)
6. \( 1 - 1 = 0 \)

Do you want details or have any questions? 

Here are some related questions:

1. What if \( x \) were a different number, like 2 or 3? How would the results change?
2. Can we solve a system of equations if one of them involves a quadratic term?
3. What is the importance of verifying the solution in systems of equations?
4. How do we handle undefined operations like division by zero in equations?
5. How does substitution work when solving systems of equations?
6. What happens if a system of equations has no solution?
7. How can we graphically represent a system of linear equations?
8. What are the possible types of solutions for a system of equations?

**Tip:** Always check for any undefined conditions in equations (like division by zero) before assuming a solution.

Learn how to solve a system of equations involving variables and basic operations such as multiplication, addition, subtraction, and division. This problem is suitable for Grades 5-6 students and covers fundamental algebraic concepts.

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