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You can add and subtract coefficients when they occur in like terms, which means they have the same variable.

2x + 3x = 5x (This addition can take place because all of the variables are x, and are therefore like terms.)

and

5y - 2y = 3y (This subtraction can take place because all of the variables are y, and are therefore like terms.)

However, if the variables differ, they are unlike terms, and you cannot add or subtract the coefficients. For example:

2a + 3b cannot be added because a and b are different variables, and therefore unlike terms.

3c - 2d cannot occur because c and d are different variables, and therefore unlike terms..

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Q: When can you add or subtract coefficients?
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What are the Rules for subtracting radicals?

similar-a similar radicand is to add or subtract similar radicals we simply add and subtract there coefficients and Anex to the sum of their common radical part.


What are the steps and rules for adding and subtracting monomials?

A monomial is a polynomial that has just one term. So to add or subtract monomials, is the same as we add or subtract like terms (terms that have exactly the same variable part). Since we are dealing with monomials, the restriction is that the exponent(s) of the variable(s) must be positive integer(s). Examples of monomials: 10xy, -5xy2, -3x2, 3w3z6, -7xy, -4x2, 2xy2, 9w3z6. So, how to add or subtract them? First detect where the like terms (monomials) are, then group them (write them next to each other), then combine (ad or subtract their coefficients, and write next to the result the common variable part). 10xy -7xy = 3xy (subtract since the coefficients have different sign). -5xy2 +2xy2 = -3xy2 (subtract since the coefficients have different sign). -3x2 -4x2 = -7x2 (add because the coefficients have the same sign). 3w3z6 + 9w3z6 = 12w3z6 (add because the coefficients have the same sign).


How do you use variable in an addition or subtraction?

well, if you want to add apples to bananas you can't do that it's the same with variables, the coefficients can be different but to add and subtract the variables have to be the same for ex: you can't do 4x+3y because they have different variables you can do 4x+3x because they have the same variables all you do is add the coefficients and keep the variable so you would get 7x


What is subsituton method?

Its a method used to find out the common solution of a pair of linear equations in two variables. For it, just make the coefficients of any one term and if the coefficients are having same signs, subtract both and if they are having different signs, add them up.


What is -4x 9x?

All we have to do is subtract the coefficients of the x terms. The solution is -4x.

Related questions

What are the Rules for subtracting radicals?

similar-a similar radicand is to add or subtract similar radicals we simply add and subtract there coefficients and Anex to the sum of their common radical part.


How do you do simaltanues equations?

Equate the coefficients and subtract or add to find the value of the the given unknown variables.


What are the steps and rules for adding and subtracting monomials?

A monomial is a polynomial that has just one term. So to add or subtract monomials, is the same as we add or subtract like terms (terms that have exactly the same variable part). Since we are dealing with monomials, the restriction is that the exponent(s) of the variable(s) must be positive integer(s). Examples of monomials: 10xy, -5xy2, -3x2, 3w3z6, -7xy, -4x2, 2xy2, 9w3z6. So, how to add or subtract them? First detect where the like terms (monomials) are, then group them (write them next to each other), then combine (ad or subtract their coefficients, and write next to the result the common variable part). 10xy -7xy = 3xy (subtract since the coefficients have different sign). -5xy2 +2xy2 = -3xy2 (subtract since the coefficients have different sign). -3x2 -4x2 = -7x2 (add because the coefficients have the same sign). 3w3z6 + 9w3z6 = 12w3z6 (add because the coefficients have the same sign).


Does decrease mean to add or subtract?

wich one


How do you use variable in an addition or subtraction?

well, if you want to add apples to bananas you can't do that it's the same with variables, the coefficients can be different but to add and subtract the variables have to be the same for ex: you can't do 4x+3y because they have different variables you can do 4x+3x because they have the same variables all you do is add the coefficients and keep the variable so you would get 7x


What is subsituton method?

Its a method used to find out the common solution of a pair of linear equations in two variables. For it, just make the coefficients of any one term and if the coefficients are having same signs, subtract both and if they are having different signs, add them up.


Does how many mean add or subtract?

does how many mean add or subtract


What is -4x 9x?

All we have to do is subtract the coefficients of the x terms. The solution is -4x.


What is the opposite for add?

The opposite of add is subtract.


Does how many more mean add or subtract?

it means to subtract


How do you add and subtract like denominator?

You add or subtract only the numerators


Does deposit mean to add or subtract?

deposit = add withdraw = subtract