Question

Solve for x in the equation 5.239(x+12.74)=9.4302 . Round your answer to the nearest tenth.(1 point)
Responses

−8.5488
negative 8.5488

1.8
1.8

14.54
14.54

−10.94

Answer 1

To solve for \( x \) in the equation \( 5.239(x + 12.74) = 9.4302 \), follow these steps:

1. Divide both sides by \( 5.239 \):
\[
x + 12.74 = \frac{9.4302}{5.239}
\]

2. Calculate the right-hand side:
\[
\frac{9.4302}{5.239} \approx 1.8007
\]
So,
\[
x + 12.74 \approx 1.8007
\]

3. Subtract \( 12.74 \) from both sides:
\[
x \approx 1.8007 - 12.74
\]

4. Calculate the value:
\[
x \approx 1.8007 - 12.7400 \approx -10.9393
\]

5. Rounding to the nearest tenth, we get:
\[
x \approx -10.9
\]

Therefore, the correct answer is \( -10.94 \) when rounded appropriately.