How would I solve this? |2y - 2| = 15

Question

parthkohli · Answer

Perhaps consider this definition:$$|x| = y \iff x = -y \ \  \text{or} \ \ x = y \rm  $$

anonymous · Answer

Im sorry you lost me

parthkohli · Answer

Read the definition again and think about what it means.

anonymous · Answer

but what do the big lines mean thats whats losing me

parthkohli · Answer

That is the absolute value. Can you please Google it up?

anonymous · Answer

yup not a problem

parthkohli · Answer

Thanks :)

anonymous · Answer

The actual magnitude of a numerical value okay so that mean that it would be 2y+2=15?

anonymous · Answer

@hba can you help me please and thank you

hba · Answer

Well @ParthKohli has clearly shown you :)

hba · Answer

See his first comment.

hba · Answer

Either,                                  Or,
            

2y-2=15                               2y-2=-15

parthkohli · Answer

Look:$$|2y - 2| = 15 \iff 2y  - 2 = -15 \ \ \text{or} \ \ 2y - 2 = 15$$

hba · Answer

I guess now you can solve :)

parthkohli · Answer

Solve both equations individually so you get something like this:$$y = \cdots \ \ \text{or} \ \ y = \cdots$$

anonymous · Answer

so it would give me y= -6.5 or y= 8.5

parthkohli · Answer

Yuppity yuppity yup.

hba · Answer

Exactly.

anonymous · Answer

Thank you guys so much

parthkohli · Answer

You're welcome =)