Which of the following is(are) the solutions(s) to |6x - 5|= 7

x = - , x = 2

Step-by-step explanation:

Given

| 6x - 5 | = 7

The absolute value function always returns a positive answer, however the expression inside can be positive or negative.

Thus there will be 2 possible solutions, that is

6x - 5 = 7 OR -(6x - 5) = 7

6x - 5 = 7 ( add 5 to both sides )

6x = 12 ( divide both sides by 6 )

x = 2

OR

- (6x - 5) = 7, that is

- 6x + 5 = 7 ( subtract 5 from both sides )

- 6x = 2 ( divide both sides by - 6 )

x = = -

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are solutions.

x = 2 : | 6(2) - 5 | = | 12 - 5 | = | 7 | = 7 = right side

x = - : | 6(- ) - 5 | = | - 2 - 5 | = | - 7 | = 7 = right side

The solutions are x = - , x = 2

what is the question?

step-by-step explanation:

answer: 5 17/33 % (to the tenth)

step-by-step explanation:

he guessed: 34.5 pounds

actual weight is 32.7

there for he is off:

34.5 -32.7 = 1.8

32.7 is the 100%

1.8 represents %? of 32.7

therefore:

32.7   - 100%

1.8     -     x%

x= 1.8*100%/32.7% = 18*100%/327%

x=1800%/327%   = (5 165/327)%

to the tenth:

5 17/33 %