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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

100
100

10
10

1

1 answer

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

  1. Subtract \( 1,998 \) from both sides: \[ 21x = 2,243 - 1,998 \]

  2. Calculate the right side: \[ 2,243 - 1,998 = 245 \] So now we have: \[ 21x = 245 \]

  3. Divide both sides by 21 to solve for \( x \): \[ x = \frac{245}{21} \]

  4. Calculate \( \frac{245}{21} \): \[ x \approx 11.67 \]

Since we are looking for the best estimate among the given options (1,000; 100; 10; 1), the closest estimate to \( 11.67 \) is \( 10 \).

Thus, the best estimate for \( x \) is 10.