The equation y = 5 in two variables, can be written as _______.

Options

A. `1.x+1.y=5`
B. `1.x+0.y=5`
C. `0.x+1.y=5`
D. None of these

Answer

To convert the equation \( y = 5 \) into the standard form of a linear equation in two variables, we can follow these steps:

### Step-by-Step Solution:

1. **Start with the given equation**:
\[ y = 5 \]

2. **Rewrite the equation to include both variables**:
We can express \( y \) as \( 1 \cdot y \):
\[ 1 \cdot y = 5 \]

3. **Introduce the variable \( x \)**:
Since we want to write this in the form \( Ax + By = C \), we can add \( 0 \cdot x \) to the left side of the equation. This does not change the value of the equation since \( 0 \cdot x = 0 \):
\[ 0 \cdot x + 1 \cdot y = 5 \]

4. **Identify the coefficients**:
In this equation, we can identify:
- \( A = 0 \)
- \( B = 1 \)
- \( C = 5 \)

5. **Write the final equation**:
Therefore, the equation \( y = 5 \) can be written in the standard form as:
\[ 0x + 1y = 5 \]

### Final Answer:
The equation \( y = 5 \) in two variables can be written as \( 0x + 1y = 5 \).

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