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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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Q: Why do you add an integer opposite when subtracting integers?
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Related questions

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

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


What are the rules for adding and subtracting numbers?

-You must memorize -To add 2 integers with different signs, find the difference of their absolute value -To subtract an integer, add it's opposite


What is the rule for subtracting integers with the same signs?

if the signs are the same you must add its opposite.


What is the meaning of subtract integers?

to subtract an integer, add its opposite or additive inverse.


Explain how to subtract a positive integer and a negative integer using absolute value?

Subtracting an integer is the same as adding its opposite.Examples:In the following examples, we convert the subtracted integer to its opposite, and add the two integers.7 - 4 = 7 + (-4) = 312 - (-5) = 12 + (5) = 17-8 - 7 = -8 + (-7) = -15-22 - (-40) = -22 + (40) = 18Note that the result of subtracting two integers could be positive or negative.


What is the definition of adding and subtracting integers?

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


What is the rule for subtracting integers?

if they are two positive numbers, do it normally.If there is a negative and a positive, change it to addition and switch the SECOND integer sign. Only works with two integers in a subtraction question.Example: (-32)-(+2)= (-34) / (-32)+(-2)=(-34)


Why do people prefer to add the opposite when subtracting integers?

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


What are the rules for adding and subtracting integers?

when you add two positive integers the answer is always positive when you add two negative integers the answer is positive when you add one negative and on positive integer, the answer is negative subtracting two negative numbers gets a negative answer subtracting two positive numbers- the answer depends subtracting a negative and positive number- the answer depends, the positive number would have to be bigger than the negative to achieve a negative number, and if the positive number is less, than the answer is still negative


Why is it that when subtracting an integer gives the same result as adding the opposite?

Because of the definition of addition and subtraction. When looking at a real number line: when you add you move to the left or up, when you add the opposite of a number you move in the opposite direction.


What happens when you add sutract multiply and divide integers?

When you add, subtract, or multiply integers, you get integers. When you divide one integer by another one, you may or may not get an integer.


What is the rule in adding positive integers?

Adding IntegersTo add integers, one must consider the following two rules to be a successful.If you want to think of it on the number line you start from 0 and when you add a positive number you go that much to the right, and when you add a negative number you go that much to the left. When adding two positive integers, just add like normal. When adding one positive integer, and one negative integer, it is like subtracting a positive number from a positive number. When adding two negative integers, it is like subtracting a positive number from a negative number.