Question

Will fan and medal.

Simplify the expression:
6x
----
9(x+y)

I know it's

2
---
3

but I don't know how to do the variables exactly

Answer 1

@Photon336

Answer 2

@Owlcoffee

Answer 3

\[\frac{ 6x }{9(x+y) }\]

Answer 4

I get it now you need to simplify that expression

Answer 5

well, to simpify this you would need to divide both numbers by the greatest common factor. we see that we have 6 and 9 here so our greatest common factor would be 3

\[\frac{ 6x }{ 9(x+y) } = \frac{ 6/3(x) }{ 9/3(x+y) } = \frac{ 2x }{ 3(x+y) }\]

Answer 6

Yes. Wait so the variables don't change in equations like this?

Answer 7

no because we cant factor out an x can you see why?

Answer 8

I think so... because it's in the parenthesis right?

Answer 9

Think of it this way, whenever we have two variables added together like this (x+y) we cant factor out an x because an x is not in every term.

say if we had

\[x^{2}+xy = x(x+y)\]

we could factor out an x because an x is in every term.

but in our problem we can't factor out anything.

\[(x+y) \]