Question

Solve this |2x-7|=1 I need help

Answer 1

Answer:

x = 3, x = 4

Step-by-step explanation:

The absolute value function always gives a positive result.

However the expression inside can be positive or negative, that is

2x - 7 = 1 or - (2x - 7) = 1

solving both

2x - 7 = 1 ( add 7 to both sides )

2x = 8 ( divide both sides by 2 )

x = 4

or

- (2x - 7) = 1 ← distribute left side

- 2x + 7 = 1 ( subtract 7 from both sides )

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

x = 3

As a check

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

x = 4 : | 8 - 7 | = | 1 | = 1 = right side

x = 3 : | 6 - 7 | = | - 1 | = 1 = right side

Then x = 3, x = 4 are the solutions

Answer 2

unfortunetly my answer was wrong so i edited it........