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Mathematics 21 Online
OpenStudy (benlindquist):

Which of the terms cannot be combined with the others? 3xy, 2x, -5x or x

OpenStudy (benlindquist):

@Comrad

OpenStudy (comrad):

Ok so we have 3xy, 2x, -5x, and x. Let me break this down. We have 3 oranges and apples, 2 apples, -5 apples (somebody stole em) and 1 apple. With that in mind, which can not combine with the other?

OpenStudy (benlindquist):

the negative

OpenStudy (comrad):

Incorrect. Let me rephrase. We have 3 oil atoms and water atoms, 2 water atoms, -5 water atoms, and 1 water atom. Which cannot combine with the others?

OpenStudy (benlindquist):

so it would be x

OpenStudy (comrad):

Variables cannot combine with other variables. They can only combine with like variables. 5x-3x can be simplified to 2x. 5x-3y cannot be simplified.

OpenStudy (comrad):

2x+ (-5x) = -3x 2x + x = 3x 3xy + 2x cannot be simplified

OpenStudy (benlindquist):

3xy

OpenStudy (comrad):

CORRECT!!! Now, tell me why it is 3xy.

OpenStudy (benlindquist):

Because it has 2 variables

OpenStudy (comrad):

Nope.

OpenStudy (comrad):

@rebeccaxhawaii Can you help me explain to @benlindquist why apples cannot combine with oranges?

OpenStudy (benlindquist):

All of them have on variable of x, but 3xy has whatever

OpenStudy (comrad):

Technically speaking you are correct. You cannot add different variables in any situation.

OpenStudy (benlindquist):

since all of em, except 3xy has 2 variables other than one

rebeccaxhawaii (rebeccaxhawaii):

okay so lets make 3y^2 apples,2y bananas, and 4x oranges when someone asks you how many oranges you have you dont say 9 you say 4

rebeccaxhawaii (rebeccaxhawaii):

they are all different

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