Question

Please help, I need an explanation.
Solve the equation. Check for extraneous solutions. 9|9-8x|=2x+3

Answer 1

found Two solutions

x=39/37
x=6/5

Answer 2

9|-8x+9| = 2x+3

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value is 9|-8x+9|

For the Negative case we'll use -9(-8x+9)

For the Positive case we'll use 9(-8x+9)

-9(-8x+9) = 2x+3

Multiply
72x-81 = 2x+3

Rearrange and Add up
70x = 84

Divide both sides by 70
x = (6/5)


9(-8x+9) = 2x+3

Multiply
-72x+81 = 2x+3

Rearrange and Add up
-74x = -78

Divide both sides by 74
-x = -(39/37)

Multiply both sides by (-1)
x = (39/37)

Answer 3

^^

Answer 4

Yes, hold up. I'm reading it. Thanks!!

Answer 5

Okay, I think I got it! Thanks very much. I'm going to write this in my notebook.

Answer 6

ok glad to help : )