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to make the integer zero for example:

2x+7y=7x+9 in this step's need to transpose 7x to the left member,

2x-7x+7y=7x-7x+9 look! it become zero and 7x is already transpose to the left member

then that's the purpose of adding its opposite

We use the opposite of a real numbers to distinguish the number from a negative number. The opposites of reals are real, whereas negative numbers are imaginary numbers. In the above example values and variables are assumed to be real.

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Why you add an integer's opposite when you are subtracting integers?

Because that is how the opposite of a number is defined.


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adding and subtracting integers is when you add and minus 2 numbers


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Some do, some don't. The operations are equivalent and people do what they are more comfortable with.


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