how is the 7 changed to -7? ... would it not just stay positive?. and -2 squared is -4... i may just be confused from how i was shown by my teacher

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Here is how I think about this problem. Say a function like this X = Y We want to keep the left side of the value equal to the right side value at all time. So here it is: If you want to add 7 on the left side like this X+7, X+7 does not equal to Y because X = Y In order to make this true, you will have to make sure you counter the effect on the Y side so you minus 7 like this Y - 7 Therefore: X+7 = Y - 7 the +7 and -7 counter each other to 0. So lets say X-7 = Y I want to get ride of 7 on the left side of the equation, what do I do? I need to add value 7 on the ride side to counter the loss of the left side Therefore it is X = Y + 7.

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