If `11x+1=540`, then `x=?`

Options

A. 12
B. 23
C. 47
D. 49

Answer

To solve the equation \( 11x + 1 = 540 \), we will follow these steps:

### Step 1: Isolate the term with \( x \)
We start with the equation:
\[ 11x + 1 = 540 \]
To isolate \( 11x \), we need to subtract \( 1 \) from both sides of the equation:
\[ 11x = 540 - 1 \]

### Step 2: Simplify the right side
Now, we simplify the right side:
\[ 11x = 539 \]

### Step 3: Solve for \( x \)
Next, we divide both sides by \( 11 \) to solve for \( x \):
\[ x = \frac{539}{11} \]

### Step 4: Perform the division
Now, we need to perform the division \( 539 \div 11 \):
- First, determine how many times \( 11 \) fits into \( 53 \) (the first two digits of \( 539 \)). \( 11 \times 4 = 44 \), so we write \( 4 \).
- Subtract \( 44 \) from \( 53 \) to get \( 9 \).
- Bring down the next digit \( 9 \) to make \( 99 \).
- Now, determine how many times \( 11 \) fits into \( 99 \). \( 11 \times 9 = 99 \), so we write \( 9 \).
- Subtract \( 99 \) from \( 99 \) to get \( 0 \).

Thus, we have:
\[ x = 49 \]

### Final Answer
Therefore, the value of \( x \) is:
\[ \boxed{49} \]

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