We can distribute the 1/4 to rewrite the left side of the equation without parentheses. What is (1/4·24x)+( 1/4·36)?

Question

1/4 (24x+36) = 3(2x+3)
? + ? = 3(2x+3)

Answer 1

To solve the equation \( (1/4 \cdot 24x) + (1/4 \cdot 36) \), we can distribute \( \frac{1}{4} \) to each term inside the parentheses.

1. Calculate each term:

   • \( \frac{1}{4} \cdot 24x = 6x \)
   • \( \frac{1}{4} \cdot 36 = 9 \)

2. Now, combine these results: \[ 6x + 9 \]

Now, we need to determine the expression \( ? + ? = 3(2x + 3) \).

3. Simplify \( 3(2x + 3) \):
   • Distribute \( 3 \): \[ 3 \cdot 2x + 3 \cdot 3 = 6x + 9 \]

Now we have: \[ 6x + 9 = 3(2x + 3) \]

Thus, we can see that the values of the question marks in your expression \( ? + ? = 3(2x + 3) \) can be filled in as follows:

• \( ? = 6x \)
• \( ? = 9 \)

So, you can write: \[ 6x + 9 = 3(2x + 3) \]

In summary: \[ (1/4 \cdot 24x) + (1/4 \cdot 36) = 3(2x + 3) \quad \text{where} \quad 6x + 9 = 3(2x + 3) \]