Add 3x+7 and x-4y+9

Answer

To solve the problem of adding the expressions \(3x + 7\) and \(x - 4y + 9\), we can follow these steps:

### Step 1: Write down the expressions to be added
We start with the two expressions:
\[ 3x + 7 \quad \text{and} \quad x - 4y + 9 \]

### Step 2: Combine the expressions
We can write the addition of these two expressions as:
\[ (3x + 7) + (x - 4y + 9) \]

### Step 3: Remove the parentheses
Next, we can remove the parentheses:
\[ 3x + 7 + x - 4y + 9 \]

### Step 4: Combine like terms
Now, we combine the like terms. The like terms here are the \(x\) terms and the constant terms:
- For the \(x\) terms: \(3x + x = 4x\)
- For the constant terms: \(7 + 9 = 16\)

So, we can rewrite the expression as:
\[ 4x - 4y + 16 \]

### Step 5: Write the final answer
The final result of adding the two expressions is:
\[ 4x - 4y + 16 \]