Question

Question

Estimate the value of x
𝑥
given this equation: 11x+29=82
11
𝑥
+
29
=
82
.(1 point)
Responses

10
10

6
6

11
11

5...

Answer 1

To solve the equation \( 11x + 29 = 82 \), we can follow these steps:

1. Subtract 29 from both sides of the equation: \[ 11x + 29 - 29 = 82 - 29 \] This simplifies to: \[ 11x = 53 \]

2. Next, divide both sides by 11 to isolate \( x \): \[ x = \frac{53}{11} \]

3. Now we can calculate \( \frac{53}{11} \): \[ \frac{53}{11} \approx 4.8181 \]

Given the options provided (10, 6, 11, 5), none of them exactly match, but the closest estimate would be \( 5 \).

Thus, the best estimate for \( x \) is 5.