If `x = 3m –1` and `y = 4` is a solution of the equation `x + y = 6`, then find the value of m.

Answer

To find the value of \( m \) given that \( x = 3m - 1 \) and \( y = 4 \) is a solution of the equation \( x + y = 6 \), we can follow these steps:

### Step 1: Substitute the values of \( x \) and \( y \) into the equation
We know that \( x + y = 6 \). Substituting the values we have:
\[ (3m - 1) + 4 = 6 \]

### Step 2: Simplify the equation
Now, simplify the left side of the equation:
\[ 3m - 1 + 4 = 6 \]
This simplifies to:
\[ 3m + 3 = 6 \]

### Step 3: Isolate the term with \( m \)
Next, we need to isolate the term with \( m \). We can do this by subtracting 3 from both sides:
\[ 3m = 6 - 3 \]
This simplifies to:
\[ 3m = 3 \]

### Step 4: Solve for \( m \)
Now, divide both sides by 3 to solve for \( m \):
\[ m = \frac{3}{3} \]
This gives us:
\[ m = 1 \]

### Conclusion
Thus, the value of \( m \) is \( 1 \).

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