anonymous
  • anonymous
I keep getting 8.2 for my answer, but the book says 5. Could someone explain where I'm going wrong? 1/4 (x+3) - 2/3 (x-1) = -2 Solve for x.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
Some easier to read formatting: \[\frac{ 1 }{ 4 }(x+3) - \frac{ 2 }{ 3 } (x-1) = -2\]
anonymous
  • anonymous
what do u have some far when u distribute ?
anonymous
  • anonymous
Well, I started out by multiplying everything by 12 to get rid of the fractions: \[3(x+3)-8(x-1)=-24\]

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anonymous
  • anonymous
Then distributing: \[3x+9-8x+8=-24\] Combining stuff: \[-5x+17=-24\] \[-5x=-41\] =8.2
anonymous
  • anonymous
can see what u did wrong!!! looks right to me maybe wrong answer in back of book happened to me before
anonymous
  • anonymous
so lets try plugging it into the equation and see if we get the right answer
anonymous
  • anonymous
8.2 is correct if put into the original equation
anonymous
  • anonymous
That's what I'm figuring. It's for a friend, she came to me for help and I couldn't give her the same answer as her book had! Plugging it back in gets me -2
anonymous
  • anonymous
thats what i love about math can always check your answer back into the equation!!
anonymous
  • anonymous
\[\frac{ 1 }{ 4 }x+\frac{ 3 }{ 4 }-\frac{ 2 }{ 3 }x+\frac{ 2 }{ 3 }=-2\] \[12(\frac{ 1x }{ 4 })+12(\frac{ 3 }{ 4 })-12(\frac{ 2x }{ 3 })+12(\frac{ 2 }{ 3 })=12(-2)\] \[3x+9-8x+8=-24\] \[-5x+17=-24\] \[-5x=-41\] \[x=\frac{-41}{-5}\] \[x=8.2\] So in short, you are definitely doing it right. Maybe you've somehow written down the problem wrong and that's why the answers don't match??
anonymous
  • anonymous
Book was incorrect.

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