Question

Select the correct number from each drop-down menu to complete the equation.
​
7
8
−
(
−
2
+
3
4
)
=
8
7
​
−(
−
2+
4
3
​
)=
(
(

+
+

)
)
+
7
8
+
8
7
​
options for first:
2
-2
3/4
-4/3

options for second:
2
-2
4/3
-3/4

Answer 1

To solve the equation using the available options, let's analyze the structure:

We are given the equation:

\[ 7 \cdot 8 - (-2 + x) = 8 \cdot 7 \]
where \( x \) will be the number we will find from the options provided. This can be rearranged into:

1. We can start by simplifying the left side first. The left side is:
\[ 7 \cdot 8 \]
which equals \( 56 - (-2 + x) \).

2. When simplifying \( -(-2 + x) \), it will be:
\[ 56 + 2 - x \]

So we have:
\[ 56 + 2 - x = 56 \]

3. Now simplifying gives us:
\[ 58 - x = 56 \]
Thus:
\[ x = 2 \]

Now, let’s fill in the drop-down options.

From the first drop-down checklist:
- The correct option is **2**.

Let's check the second part of the requirement:
The second part of your structure is represented as \( -( -2 + \frac{4}{3} ) = ( ( + + ) ) + 7 \cdot 8 + 8 \cdot 7 \).

4. Now substituting in our second part:
Starting with \( -( -2 + x) \):
\[ -( -2 + x) = -(-2 + 2) = 0. \]

However, to fit correctly with the remaining options, we can also check other possibilities with available options:

The second drop-down options now needs to go with simple evaluation:

Checking available options again with calculations will reveal:
- For \( x = 4/3\), substitute:
\[ 7 \cdot 8 - (-2 + 4/3) \]
Which checks out, gives:
\[ 56 + 2 - 4/3 \]

This leaves:
**The correct selections are:**
- For the first: **2**
- For the second: **-4/3**.

Thus, completing the equation should resolve accurately with the nature of options given.