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: $$(1/4\cdot 24x)+(1/4\cdot 36)=3(2x+3)\text{where}6x+9=3(2x+3)$$