anonymous
  • anonymous
Below are the steps to solve an equation step 1: |x-2| +3=7 step 2: |x-2|=7-3 step 3: |x-2|=4 which of the following is correct step to solve the equation?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
x – 4 = –7
Study_together
  • Study_together
I think it's step 2.
anonymous
  • anonymous
i agree

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anonymous
  • anonymous
x+2=4 -x-2=4 x+2=4 x-2=-4
anonymous
  • anonymous
i need to find the correct step after
zepdrix
  • zepdrix
For absolute value, we can drop the absolute bars by throwing a plus/minus symbol in front of the stuff.\[\large\rm |\color{royalblue}{stuff}|=4\]\[\large\rm \pm\color{royalblue}{stuff}=4\]Let's write the plus/minus on the other side though, that will make things easier.\[\large\rm \color{royalblue}{stuff}=\pm 4\]
zepdrix
  • zepdrix
So notice that we actually have `two` equations now. One for the plus case, and another for the negative.\[\large\rm \color{royalblue}{stuff}=4\]\[\large\rm \color{royalblue}{stuff}= -4\]
anonymous
  • anonymous
yeah is step 2
zepdrix
  • zepdrix
And for our problem, the `stuff` is simply `x-2`.
zepdrix
  • zepdrix
i guess everyone else got confused by the question lol
anonymous
  • anonymous
ahh sorry
zepdrix
  • zepdrix
Do you understand what I did with the absolute there? :O Your `stuff` is `x-2`. So you're looking for an option that matches one of these,\[\large\rm \color{royalblue}{x-2}=4\]\[\large\rm \color{royalblue}{x-2}=-4\]
anonymous
  • anonymous
so its x-2=-4 would be the next step to solve the equation
zepdrix
  • zepdrix
Option 4? Yay good job \c:/
anonymous
  • anonymous
Thank you so much! algebra is kicking my butt this summer

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