If (6, k) is a solution of the equation 3x+y=22 then the value of k is:

Options

A. -4
B. 4
C. 3
D. -3

Answer

To find the value of \( k \) in the equation \( 3x + y = 22 \) given that the point \( (6, k) \) is a solution, we can follow these steps:

### Step 1: Substitute the values of \( x \) and \( y \)
We know that the point \( (6, k) \) means \( x = 6 \) and \( y = k \). We will substitute these values into the equation.

\[ 3(6) + k = 22 \]

### Step 2: Calculate \( 3(6) \)
Now, we calculate \( 3(6) \):

\[ 3(6) = 18 \]

### Step 3: Rewrite the equation
Now we can rewrite the equation with the calculated value:

\[ 18 + k = 22 \]

### Step 4: Solve for \( k \)
To isolate \( k \), we subtract 18 from both sides of the equation:

\[ k = 22 - 18 \]

### Step 5: Calculate \( k \)
Now we perform the subtraction:

\[ k = 4 \]

### Final Answer
Thus, the value of \( k \) is:

\[ \boxed{4} \]

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