Question

Which number(s) below belong to the solution set of the equation? 14x=112.

Option A: 8
Option B: 22
Option C: 28
Option D: 112
Option E: 16
Option F: -6

Answer 1

The number 8 solves the equation 14x=112, making Option A the correct answer from the given set.

Step-by-step explanation:

The student is asking which number from a given set solves the linear equation 14x=112. To find the solution, we need to isolate the variable x by performing an algebraic operation. We need to divide both sides of the equation by 14, which is the coefficient of x.

Here are the steps:

1. Divide both sides of the equation by 14: 14x / 14 = 112 / 14.
2. Simplify both sides of the equation: x = 8.

The correct solution is x = 8. Hence, the number 8 from the given options belongs to the solution set of the equation. Therefore, Option A: 8 is the correct answer.