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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

1 answer

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

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

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

  1. Calculate the right side:

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

  1. Now, we have:

\[ 21x = 245 \]

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

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

  1. 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