Question

select the correct answer from each drop - down menu. identify the values that make the equation true.
-4.67+(5.24 -

)-(

+ 7.98)=13.26
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Explanation:

Step1: Let the first blank be \( x \) and the second blank be \( y \). The equation becomes \(-4.67+(5.24 - x)-(y + 7.98)=13.26\). First, simplify the left - hand side:

\[

$$\begin{align*} -4.67 + 5.24-x - y-7.98&=13.26\\ (-4.67 + 5.24-7.98)-x - y&=13.26\\ (0.57 - 7.98)-x - y&=13.26\\ -7.41-x - y&=13.26 \end{align*}$$

\]

Step2: Rearrange the equation to solve for \(x + y\):

Add \(7.41\) to both sides of the equation \(-7.41-x - y=13.26\):
\[

$$\begin{align*} -x - y&=13.26 + 7.41\\ -x - y&=20.67\\ x + y&=- 20.67 \end{align*}$$

\]
Let's assume some common values (maybe there are some default values in the dropdowns, but since we don't have the dropdown options, we can solve in general). Let's suppose the first blank \(x\) and second blank \(y\) satisfy \(x + y=-20.67\). For example, if we assume \(x=-25.94\) and \(y = 5.27\) (we can check:
Left - hand side: \(-4.67+(5.24-(-25.94))-(5.27 + 7.98)\)
\(=-4.67+(5.24 + 25.94)-(13.25)\)
\(=-4.67 + 31.18-13.25\)
\(=26.51-13.25\)
\(=13.26\) (matches the right - hand side)

Wait, maybe the dropdowns have values. Let's re - do the calculation with the correct approach. Let's expand the original equation:

\(-4.67+5.24 - a - b-7.98 = 13.26\) (let \(a\) be the first blank, \(b\) be the second blank)

Combine like terms:

\((-4.67+5.24 - 7.98)-a - b=13.26\)

\((0.57 - 7.98)-a - b=13.26\)

\(-7.41-a - b=13.26\)

Then, \(a + b=-7.41 - 13.26=-20.67\)

Suppose the first blank \(a\) and second blank \(b\) such that \(a + b=-20.67\). Let's assume from the dropdowns, if we take \(a=-25.94\) and \(b = 5.27\) (as a sample, since we don't have the dropdown options, but the correct way is to use the dropdown values to satisfy \(a + b=-20.67\))

If we assume the first blank is \(-25.94\) and the second blank is \(5.27\) (these are just sample values that work, the actual values depend on the dropdown options)

Answer:

(The answer depends on the dropdown options. If we assume the dropdown options have values such that the first blank is \(-25.94\) and the second blank is \(5.27\) (or other values that satisfy \(a + b=-20.67\)), then the first blank is \(-25.94\) and the second blank is \(5.27\))

But since we need to get the correct values, let's do the calculation properly. Let's solve for \(a\) and \(b\) step by step.

Original equation: \(-4.67+(5.24 - a)-(b + 7.98)=13.26\)

Expand: \(-4.67 + 5.24 - a - b - 7.98=13.26\)

Combine constants: \((-4.67+5.24-7.98)-a - b=13.26\)

\(-7.41 - a - b=13.26\)

\(-a - b=13.26 + 7.41=20.67\)

\(a + b=-20.67\)

Let's assume the first blank \(a\) and second blank \(b\) are such that \(a\) and \(b\) are from the dropdown. For example, if the dropdown for the first blank has \(-25.94\) and the second has \(5.27\) (because \(-25.94+5.27=-20.67\))

So the first blank is \(-25.94\) and the second blank is \(5.27\) (or other pairs that sum to \(-20.67\) from the dropdown)

If we take the first blank as \(-25.94\) and the second as \(5.27\):

Check:

\(-4.67+(5.24-(-25.94))-(5.27 + 7.98)\)

\(=-4.67+(5.24 + 25.94)-(13.25)\)

\(=-4.67+31.18 - 13.25\)

\(=26.51-13.25\)

\(=13.26\) (correct)

So the values are \(a=-25.94\) (first blank) and \(b = 5.27\) (second blank) (assuming these are in the dropdowns)