If (2, 0) is a solutions of the linear equations `2 x + 3y = k` then the value of k is

Options

A. 6
B. 5
C. 2
D. 4

Answer

To find the value of \( k \) in the equation \( 2x + 3y = k \) given that the point \( (2, 0) \) is a solution, we can follow these steps:

### Step 1: Substitute the values of \( x \) and \( y \)
Since the point \( (2, 0) \) is a solution, we can substitute \( x = 2 \) and \( y = 0 \) into the equation.

\[ 2x + 3y = k \]

Substituting the values:

\[ 2(2) + 3(0) = k \]

### Step 2: Calculate the left-hand side
Now, we will calculate the left-hand side of the equation:

\[ 2(2) + 3(0) = 4 + 0 \]

This simplifies to:

\[ 4 = k \]

### Step 3: Conclusion
Thus, the value of \( k \) is:

\[ k = 4 \]

### Final Answer
The value of \( k \) is \( 4 \).

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