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No medal required or needed. Better check the arith. that y ou've done so far. Are you sure that 25 is negative?
Why not try adding 7 to both sides of the equation first?
i got rid of the 18 bc i have to isolate the absolute value
But if you do add 7 to both sides of the equation, your 18 becomes 25, right? What next?
You'll need to isolate the absolute value expression, as you said.
i did it like this|dw:1449206463340:dw|
Still have a problem with algebraic signs here. Check again.
oh is it the negative sign im leaving?
Hint: \[-|9x+2| +18=-7\]
There should be no negative sign on either side. Check out whpaler4's input for another view.
first rule of intelligent tinkering, and algebra: keep all the pieces! :-)
I gravitate to keeping quantities positive whenever I can. What arithmetic operations will both reduce your equation and result in every term being positive?
See whpalmer's equation. What say you change all of the neg signs to pos and all of the pos signs to neg?
okay so i did it in the way whpalmer arranged it. is this correct or am i still missing something? |dw:1449207039696:dw|
ohhh okay, that's what i thought at first :P
Here's what I'd do: Given: \[-|9x+2| +18=-7\]
Negate every term. We'll then have:\[-(-|9x+2| +18=-7).or.|9x+2| -18=7,\right?\]
How would you now simplify |9x+2|-18=7?
Hint: If equals are added to equals, the sums are equal.
Cool. Just too cool.
Now, that equation breaks down into TWO separate equalities.
yeah 9x+2+25 9x+2=-25
9x+2=25 AND -(9x+2)=25. Seen this kind of action before, when working with absolute value quantities?
How would you solve the first one?
subtract 2 from both sides
Unfortunately, the resulting equation isn't pretty. :(
x = ?
yeah :/ i got x=23/9 and x=-3 for the 2nd equation
Challenge: Check your x=-3 by substition into |9x+2|-7+18
Excuse me: substituion into |9x+2|-7=18
it was correct :)
I wrote the equation as I did only to make it clear that the "-" in front of the absolute value expression was being inadvertently lost.
Or perhaps I should say "in the hopes of making it clear" as it didn't do the trick :-)
Cool, I think, to explore various possibilities along the way to efficient problem solving!
thank you so much :)
for now lol
i was moved to algebra 2 later in the week so i didnt fully learn how to do this part and some others
Hope to see you again here on OpenStudy!