Question

Is this equivalent to 3?

Answer 1

\[3x + 33\div x + 11\]

Answer 2

Please explain so I understand.

Answer 3

Is it
\[\frac{3x + 33}{x+11}\]?

Answer 4

Yes

Answer 5

If you factor 3 from the numerator, do you see something you can cancel out?

Answer 6

@meepi I'm having a hard time understanding what exactly you mean.. Understanding math is like understanding Chinese to me>_<

Answer 7

there are a few things you should learn

if you have 3(x+11)
think of the parens as a package, and 3(x+11) means you have 3 packages.
that means you have 3 of each thing inside : 3 x's and 3 11's
you write that as 3x+3*11 or 3x + 33

Answer 8

factor out 3 undoes the 3*x + 3*11
you "factor out 3" to get 3(x+11)
which is another way to right 3x+33

Answer 9

another thing you should learn: anything divided by itself is 1

that works for anything *except zero*
2/2 = 1
3/3 = 1

(x+y+z)/(x+y+z) = 1

as long as it is not 0/0

Answer 10

now to the question
\[ \frac{3x + 33}{x+11} = \frac{3(x+11)}{(x+11)} \]

as long as x+11 is not zero, we can divide (x+11)/(x+11) and get 1
and 3*1 is 3

so we can say
\[ \frac{3x + 33}{x+11} = 3 \text{ but x≠ -11} \]
so it is almost the same as 3... it is 3 except for when x=-11
when x= -11 you have 0/0 which is "indeterminate"... we don't know what it is.

Answer 11

You. Are. Amazing.