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#2 Help Me ! » Explanation for Multiplying/Dividing in Equations/Inequalities » 2019-11-15 05:09:01

LegionXII
Replies: 3

I'm studying maths again after nearly a 7 year break from it and while I'm doing well (better than I ever have in school, matter of fact) there are still a couple of things that I haven't been completely explained; namely, the rules when multiplying/dividing in equations.  While I know what the rules are, I still haven't been explained WHY it differs from adding and subtracting.  For instance:

Say I have the equation 4x+(3/4)-1=5+20

If I want to get rid of the fraction (3/4) I have to multiply 4 by the entire equation on both sides:

4(4x+(3/4)-1)=(5+20)4

The same goes for division.  But.. when adding or subtracting, instead of it being, say when adding 1 to both sides:

4x+(3/4+1)-(1+1)=(5+1)+(20+1) it's simply 4x+(3/4)-1+1=5+20+1

Why is that?

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