SOLUTION: How is it you can reorder this from: {{{ (5/2)y=x^2 }}} to {{{ x^2=(5/2)y }}} I thought if you take something from one side you have to subtract. The way I would see it would be {

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Question 948711: How is it you can reorder this from: to I thought if you take something from one side you have to subtract. The way I would see it would be I think I misunderstand something.
Found 3 solutions by josgarithmetic, brysca, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
A most basic property of Equality.


The left member is the same as the right member. They appear different but the equality symbols says, "these are the same quantity."




to



The left member and the right member were the same number earlier; now they have switched places. This equation still says, "these are the same quantity."

Look in your book in one of the early chapters for "Symmetric Property..."
Answer by brysca(112)   (Show Source): You can put this solution on YOUR website!
All three of these equations:
Equation 1:
Equation 2:
Equation 3:
mean the same thing.
Look at equation 3:

If you divide both sides by -1, you end up with:

This is the same equation as equation 2!
Essentially, what this means is that you can re-order the equation in either way that you like. They both mean the same thing.
Hope this helps!
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

How is it you can reorder this from: to I thought if you take something from one side you have to subtract. The way I would see it would be I think I misunderstand something.
All that was done was, the expressions were switched, just the same as switching: 

4 + 1 = 3 + 2    to     3 + 2 = 4 + 1.

If it was an inequality though, the inequality sign would not remain the same.

Additionally, your equation is correct, but you fail to realize that a negative, divided by a negative

results in a positive, so your expression,  is actually identical to:  

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