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Old 21st Apr 2016, 19:04
  #780 (permalink)  
average-punter
 
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It's always worth making the subject of the equation positive in the first instance, to avoid any silly errors by having to multiple by -1 at the end.

As I understand, the first figure to the right of the = sign will be a positive unless otherwise indicated,
Correct.

You ultimately want to get the subject on it's on in as few a "moves" (for lack of a better word!) as possible

So with this in mind....

y = 7 - 2x

I'm going to add 2x to each side of the equation (as I want to get the subject positive), alternativly you could multiply everything by -1 but I favour the first method.

y + 2x = 7

Then subract y from each side

2x = 7 - y (there is 0 y on this side of the equation hence why is becomes "-y" -y is the same as -1y)

then finally divide each side by 2 (as there are 2 lots of x on the left side. If we know that 7-y gives us twice the value of x, then half on 7-y must give us x!)

x = (7-y)/2
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