Question 3 (7 points of) Let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number. If 5 times a number is added to-6 , the result is equal to 11 times the number. Find the number. 2-1-2 1

Solution

Q u es t i o n 3 (7 p o in t s) L e t x re p rese n t t h e n u mb er . U se t h e g i v e n co n d i t i o n s t o w r i t e an e q u a t i o n . S o l v e t h e e q u a t i o n an d f in d t h e n u mb er . I f 5 t im es a n u mb er i s a dd e d t o - 6, t h e res u lt i s e q u a l t o 11 t im es t h e n u mb er . F in d t h e n u mb er . 2 - 1 - 21

The number : - 1

Solution steps

Represent the number with

x

A.T.Q.:

- 6 + 5 x = 11 x

Solve for

x, - 6 + 5 x = 11 x : x = - 1

The number : - 1