Answer :
To solve for x in the given problem where AC = 8x - 14 and EC = 2x + 11, you can follow these steps:
1. Since AC = 8x - 14 and EC = 2x + 11, the lengths of AC and EC are equal in a triangle. Therefore, you can set them equal to each other:
8x - 14 = 2x + 11
2. Next, solve for x by isolating x on one side of the equation. Start by moving the terms with x to one side:
8x - 2x = 11 + 14
6x = 25
3. Now, divide by 6 to solve for x:
x = 25 / 6
4. Simplify the result to get the value of x:
x = 4.1667 (rounded to 4 decimal places)
Therefore, the value of x in this case is approximately 4.1667.
