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3|3x+2|=51

I think my teacher graded this wrong on my "test"
can anyone help me out by telling me that I was right in figuring it out?

2007-10-03 12:37:55 · 8 answers · asked by ? 2 in Education & Reference Homework Help

8 answers

x= 5 OR -19/3

you would be wrong if you didn't say both answers because....

1. if x=5
3|3(5)+2|=51
3|15+2|=51
3|17|=51
3*17=51
51=51
TRUE

AND

2. if x= -19/3
3|3(-19/3)+2|=51
3|-19+2|=51
3|-17|=51
3*17=51
51=51
TRUE

2007-10-03 12:56:39 · answer #1 · answered by malmal 2 · 0 0

Distribute the 3 into everything that's in the brackets. You'll get: 9x+6=51, then just solve for x by taking away 6 from each side and dividing both by 9.

2007-10-03 12:43:58 · answer #2 · answered by Anonymous · 0 1

you could take Algebra II/Trig. i'm presently in Algebra II, and it is incredibly person-friendly... My pal is giving me a pre-calc e book quickly so i will end being bored. in case you like a undertaking choose for the greater complicated direction. you could sense fortunate that your college has that danger. i understand i could have down it if I had the possibility.

2016-12-17 16:27:25 · answer #3 · answered by ? 4 · 0 0

-51=9x+6=51
-57=9x=45
-57/9=x=5

Next, plug in the answers in original equation to check; the ones that work are right. Make sure to check though because sometimes there are cases of no solution.
Remember, that because of the absolute, you need to put -51 also!

2007-10-03 12:45:55 · answer #4 · answered by Mechiko 2 · 0 1

3|3x+2|=51
÷3 ÷3
|3x+2|=17
3x+2=17
-2 -2
3x=15
x=3
lol and im only in geometry but this stuff was in algebra one

2007-10-03 12:44:13 · answer #5 · answered by penguinfreek 2 · 0 1

I assume that | and | are absolute value brackets.

|3x+2|=17
therefore
3x+2=17
or 3x+2 = -17

You have to solve for both.

2007-10-03 12:44:10 · answer #6 · answered by Meredith 4 · 0 0

3|3x+2|=51
3x+2=17
3x=15
x=5

2007-10-03 12:41:52 · answer #7 · answered by wwwtoha 3 · 0 1

Did you say that x=5?

2007-10-03 12:42:38 · answer #8 · answered by hottotrot1_usa 7 · 0 0

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