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

21x+1,998=2,243

(1 point)
Responses

1
1

10
10

1,000
1,000

100

1 answer

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

  1. Subtract 1,998 from both sides: \[ 21x = 2,243 - 1,998 \] \[ 21x = 245 \]

  2. Next, divide both sides by 21: \[ x = \frac{245}{21} \] \[ x \approx 11.67 \]

Since we need the best estimate for \( x \) from the given options:

  • 1
  • 10
  • 1,000
  • 100

The closest estimate to 11.67 is 10.