The table below shows two equations:
Equation 1 |4x – 3|− 5 = 4
Equation 2 |2x + 3| + 8 = 3
Which statement is true about the solution to the two equations?
Equation 1 and equation 2 have no solutions.
Equation 1 has no solution and equation 2 has solutions x = -4, 1.
The solutions to equation 1 are x = 3, -1.5 and equation 2 has no solution.
The solutions to equation 1 are x = 3, -1.5 and equation 2 has solutions x = -4, 1.
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how about you go an try to solve the problem first?
@nincompoop wow!!! i never thought of that!! thanks for all ur help buddy!! not like i posted it bc i didnt understand it or anything!! :))))
well I'd like to see you try so I know where's the lack of understanding is coming from :)
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@nincompoop I'm confused where some answer options offer two numbers. like for example "equation 2 has solutions x = -4, 1". How can x be -4 AND 1?
when dealing with an absolute value, there are always two answers
|-x| = x
|x| = x
therefore, x = -x and x
@nincompoop ok, i'm taking a pre-test for a chapter i've never learned yet, so I know little to nothing about this chapter.
should I put up some other examples to elaborate the concept?
yes, pleeeeeeeease. :3
it's simply as dealing with any other equation or inequalities, you always isolate the variables that you are trying to solve. with absolute values however, you end up with two answers.
see let us bear in mind that what makes an absolute value of a negative number a positive is:
before I proceed, I would like to know if you are still with me
@slumberousteenager are you still with me - are there any confusion or do yo have any problems following what I am trying to communicate?
@nincompoop I've been writing this all down, sorry. Can you work out the problems I actually posted, lol..?
if I did that then it would just be like telling you the answer. the key here is for you to understand the concept using other problems. because if you did, then you would be able to answer your own question.
I don't want you to just write things down, I want you to understand. you want to think like a mathematician not think like a secretary that writes everything down….