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anonymous
 4 years ago
Find the sum of the solutions:
5│x│  3 = │3x + 7│
anonymous
 4 years ago
Find the sum of the solutions: 5│x│  3 = │3x + 7│

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[5\left x \right3 = \left 3x+7 \right\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0How would I go about this?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Are things in absolute value "like terms?"

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.2Let'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
 4 years ago
Best ResponseYou've already chosen the best response.0Is that how you have to do it?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0and i dont understand the "Cases"

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.2i'm looking at when x=x or when it is x=x and something for 3x+7

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0what do you mean by something for │3x + 7│

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Can you try to explain it a different way. I'm sorry

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.23x+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
 4 years ago
Best ResponseYou've already chosen the best response.2i looked at all possible combinations of these

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.2that is how i got my 4 cases

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Okay. Thanks. It's more clear now.

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.2i actually wrote this above when i did the 4 cases

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.23x+7>0 => x>7/3 after solve for x 3x+7<0 => x<7/3 after solving for x

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.2i'm glad you understand though :)
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