Question

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

21x+1,998=2,243

(1 point)
Responses

100
100

10
10

1,000
1,000

1

Answer 1

To solve the equation \( 21x + 1,998 = 2,243 \), we first isolate \( x \):

1. Subtract \( 1,998 \) from both sides:

\[
21x = 2,243 - 1,998
\]

2. Calculate the right side:

\[
2,243 - 1,998 = 245
\]

3. Now, we have:

\[
21x = 245
\]

4. Next, divide both sides by \( 21 \) to solve for \( x \):

\[
x = \frac{245}{21}
\]

5. Calculate \( \frac{245}{21} \):

\[
\frac{245}{21} \approx 11.67
\]

Now, looking at the provided responses (100, 10, 1,000, and 1), the answer that best estimates \( x \) (approximately \( 11.67 \)) is:

**10**