Question

Which of the following answers gives the best estimate for x
given the following equation?

−2x+902=1,518


(1 point)
Responses

300
300

−300
negative 300

−600
negative 600

600

Answer 1

To solve the equation \(-2x + 902 = 1518\), we will first isolate the term with \(x\).

1. Subtract 902 from both sides:
\[
-2x = 1518 - 902
\]
\[
-2x = 616
\]

2. Now, divide both sides by -2 to solve for \(x\):
\[
x = \frac{616}{-2}
\]
\[
x = -308
\]

Now, let's look at the answer choices provided:
- 300
- −300
- −600
- 600

The closest estimate to \(-308\) is \(-300\).

Therefore, the best estimate for \(x\) is \(-300\).