SOLUTION: Please help me solve this equation. Solve for all values of yy in simplest form. open vertical bar, y, minus, 12, close vertical bar, equals, 16 ∣y−12∣= 16

Algebra ->  Absolute-value -> SOLUTION: Please help me solve this equation. Solve for all values of yy in simplest form. open vertical bar, y, minus, 12, close vertical bar, equals, 16 ∣y−12∣= 16      Log On


   



Question 1204695: Please help me solve this equation.
Solve for all values of yy in simplest form.
open vertical bar, y, minus, 12, close vertical bar, equals, 16
∣y−12∣=
16

Found 2 solutions by mananth, greenestamps:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
|y-12|=16
Either y-12=16--------------1
OR
y-12=-16---------------------2
y-12=16
y =12+16=28
y-12=-16
y=12-16= -4
y=28 or y=-4

Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


Using formal algebra and the standard method for working the problem....

abs%28y-12%29=16
y-12=16 OR y-12=-16
y=16%2B12=28 OR y=-16%2B12=-4

ANSWERS: y=28 and y=-4

In many problems involving absolute value, the work can be done informally, using the concept that "abs%28y-12%29=16" means the distance between y and 12 is 16. That gives us, quickly,

ANSWERS: 12+16 = 28 and 12-16 = -4