Question

solve for x: 2x-1/7=9​

Answer 1

Answer:

Absolute value equalitiy entered

(1/7)|2x-1| = 9

The Absolute Value term is (1/7)|2x-1|

For the Negative case we'll use -(1/7)(2x-1)

For the Positive case we'll use (1/7)(2x-1)

-(1/7)(2x-1) = 9

Multiply

-2x/7+(1/7) = 9

Rearrange and Add up

-2x/7 = (62/7)

Divide both sides by 2

-x = 31

Multiply both sides by (-1)

x = -31

Which is the solution for the Negative Case

(1/7)(2x-1) = 9

Multiply

2x/7-(1/7) = 9

Rearrange and Add up

2x/7 = (64/7)

Multiply both sides by 7

2x = 64

Divide both sides by 2

x = 32

Which is the solution for the Positive Case

x=-31

x=32