Question

7|8-3h|=2h-7

Answer 1

7[8 - 3n] = 2h - 7.

Isolate the bars by dividing both
sides by 7:
[8 - 3h] = 2h/7 -1,
The number inside the bars may be
positive or negative, but its' ab-
solute value is always positive. Therefore, we'll do a calculation for each(+-).


(8 - 3h) = 2h/7 -1,
-3h -2h/7 = -1 -8,
-3h -2h/7 = -9,
Multiply both sides by -7:
21h + 2h = 63,
h = 63/23 = 2.74,

Second Solution

-(8 - 3h) = 2h/7 -1,
-8 + 3h = 2h/7 -1,
3h - 2h/7 = -1 + 8,
3h - 2h/7 = 7,
21h -2h = 49,
h = 49/19 = 2.58.

Solutions = 2.74, and 2.58.