Find out the two signs that need to be switched for equation to be equated.
`5+6 xx 3-4÷2=(-1)`

Options

A. `xx & +`
B. `- & ÷`
C. `÷ & xx`
D. `+ & -`

Answer

To solve the equation \(5 + 6 \times 3 - 4 \div 2 = -1\) and find out which two signs need to be switched for the equation to hold true, we will follow these steps:

### Step 1: Understand the Order of Operations
We will use the BODMAS/BIDMAS rule, which stands for:
- B: Brackets
- O: Orders (i.e., powers and square roots, etc.)
- D: Division
- M: Multiplication
- A: Addition
- S: Subtraction

This means we perform operations in the following order: Division and Multiplication (from left to right), then Addition and Subtraction (from left to right).

### Step 2: Evaluate the Original Equation
Let's evaluate the left-hand side of the equation using the original signs:
\[ 5 + 6 \times 3 - 4 \div 2 \]

1. **Perform Division**: \(4 \div 2 = 2\)
2. **Perform Multiplication**: \(6 \times 3 = 18\)
3. **Now substitute back**:
\[ 5 + 18 - 2 \]
4. **Perform Addition**: \(5 + 18 = 23\)
5. **Perform Subtraction**: \(23 - 2 = 21\)

Thus, the left-hand side evaluates to \(21\), which is not equal to \(-1\).

### Step 3: Test Each Option to Find the Correct Signs to Switch

**Option 1: Switch + and ×**
- New equation: \(6 + 5 \times 3 - 4 \div 2\)
- Evaluate:
- \(5 \times 3 = 15\)
- \(6 + 15 - 2 = 19\) (not equal to -1)

**Option 2: Switch - and ÷**
- New equation: \(5 + 6 \times 3 + 4 \times 2\)
- Evaluate:
- \(4 \times 2 = 8\)
- \(5 + 18 + 8 = 31\) (not equal to -1)

**Option 3: Switch ÷ and ×**
- New equation: \(5 + 6 \div 3 - 4 \times 2\)
- Evaluate:
- \(6 \div 3 = 2\)
- \(4 \times 2 = 8\)
- Substitute back: \(5 + 2 - 8\)
- \(5 + 2 = 7\)
- \(7 - 8 = -1\) (this is equal to -1)

**Option 4: Switch + and -**
- New equation: \(5 - 6 \times 3 + 4 \div 2\)
- Evaluate:
- \(4 \div 2 = 2\)
- \(6 \times 3 = 18\)
- Substitute back: \(5 - 18 + 2\)
- \(5 - 18 = -13\)
- \(-13 + 2 = -11\) (not equal to -1)

### Conclusion
The correct option is **Option 3**, where we switch the division and multiplication signs.