For simultaneous equations in x and y , if `D_(x) = 49 D_(y) = - 63 and D = 7 ` , then what is the value of x ?

Options

A. 7
B. `-7`
C. `1/7`
D. `(-1)/7`

Answer

To find the value of \( x \) using the given determinants \( D_x \), \( D_y \), and \( D \), we can use the formula:

\[ x = \frac{D_x}{D} \]

### Step-by-Step Solution:

1. **Identify the values**: We are given:
- \( D_x = 49 \)
- \( D_y = -63 \) (not needed for finding \( x \))
- \( D = 7 \)

2. **Substitute the values into the formula**:
\[ x = \frac{D_x}{D} = \frac{49}{7} \]

3. **Perform the division**:
\[ x = 7 \]

Thus, the value of \( x \) is \( 7 \).

### Final Answer:
The value of \( x \) is \( 7 \).