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Question 72765This question is from textbook Developmental Mathematics
: [5x+2]=3 Okay the paratheses should be just straight lines. I have done some of the example problems in my book but come out way wrong. Can someone please tell step by step how to do these? I don't think I will ever take another online class again. Thanks
This question is from textbook Developmental Mathematics
Answer by ptaylor(2198)   (Show Source):
You can put this solution on YOUR website! [5x+2]=3 Okay the paratheses should be just straight lines
It appears that you are dealing with an "absolute" value equation. The absolute value of a number is always positive. Take the equation:
[x]=5, then x=+5 and x=-5. Lets look at your problem:
[5x+2]=3 in order to get rid of the absolute value sign, we need to break the equation into two components:
+(5x+2)=3 and -(5x+2)=3 In order to get the complete answer, we need to solve both equations for x
First
+(5x+2)=3 get rid of parens
5x+2=3 subtract 2 from both sides
5x+2-2=3-2 collect like terms
5x=1 divide both sides by 5
x=1/5----------------------------------one answer
Next
-(5x+2)=3 get rid of parens
-5x-2=3 add 2 to both sides
-5x-2+2=3+2 collect like terms
-5x=5 divide both sides by -5
x=-1--------------------------------the other answer
[5*(1/5)+2]=3
[1+2]=3
3=3
[5*(-1)+2]=3
[-5+2]=3
3=3
SINCE YOU ARE TAKING AN ONLINE COURSE, I RECOMMEND THAT YOU MAKE AS MUCH USE OF THE INTERNET FOR RESEARCH AS YOU CAN. FOR EXAMPLE, DO A GOOGLE SEARCH ON "ABSOLUTE VALUE EQUATIONS" AND SEE WHAT YOU COME UP WITH.
Hope this helps.-----------------ptaylor
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