anonymous
  • anonymous
Find the sum of the solutions: 5│x│ - 3 = │3x + 7│
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
\[5\left| x \right|-3 = \left| 3x+7 \right|\]
anonymous
  • anonymous
How would I go about this?
anonymous
  • anonymous
Are things in absolute value "like terms?"

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
?
myininaya
  • myininaya
Let's consider some cases: ------------------------------------------- \[\text{ CASE 1:} x>0 ; x>\frac{-7}{3}\] |x|=x ; |3x+7|=3x+7 5(x)-3=3x+7 solve this for x and then check it -------------------------------------------- \[\text{ CASE 2:} x>0; x<\frac{-7}{3}\] |x|=x; |3x+7|=-(3x+7) 5(x)-3=-(3x+7) solve this for x and check it -------------------------------------------- \[\text{ CASE 3: } x<0; x>\frac{-7}{3}\] |x|=-x ; |3x+7|=3x+7 5(-x)-3=3x+7 solve this for x and check it -------------------------------------------- \[\text{ CASE 4: } x<0 ; x<\frac{-7}{3}\] |x|=-x; |3x+7|=-(3x+7) 5(-x)-3=-(3x+7) solve this for x and check it
anonymous
  • anonymous
Is that how you have to do it?
anonymous
  • anonymous
and i dont understand the "Cases"
myininaya
  • myininaya
i'm looking at when |x|=x or when it is |x|=-x and something for |3x+7|
anonymous
  • anonymous
what do you mean by something for │3x + 7│
myininaya
  • myininaya
same thing*
anonymous
  • anonymous
Can you try to explain it a different way. I'm sorry
myininaya
  • myininaya
|3x+7|=3x+7 when 3x+7>0 |3x+7|=-(3x+7) when 3x+7<0 |x|=x when x>0 |x|=-x when x<0
myininaya
  • myininaya
i looked at all possible combinations of these
myininaya
  • myininaya
that is how i got my 4 cases
anonymous
  • anonymous
Okay. Thanks. It's more clear now.
myininaya
  • myininaya
i actually wrote this above when i did the 4 cases
myininaya
  • myininaya
3x+7>0 => x>-7/3 after solve for x 3x+7<0 => x<-7/3 after solving for x
myininaya
  • myininaya
i'm glad you understand though :)

Looking for something else?

Not the answer you are looking for? Search for more explanations.