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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

1,000
1,000

10
10

100
100

1

1 answer

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

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

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

  1. Calculate \( 2,243 - 1,998 \):

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

  1. Now we have:

\[ 21x = 245 \]

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

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

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

\[ x \approx 11.67 \]

Among the provided options, the closest estimate is 10.