Question

Simplify

Answer 1

You could either factor the numerator and cancel any common factors with the denominator, or you could split this into two fractions and then do the cancellation:
\[\frac{-3x+9}{-3} = \frac{-3x}{-3}+\frac{9}{-3}\]Either way, be careful with those pesky - signs...

Answer 2

would it be −x − 3

Answer 3

What is -3 divided by -3?

Answer 4

We can check our answer by cross-multiplication:

\[\frac{-3x+9}{-3} = \frac{-x-3}{1}\]
\[(1(-3x+9) = -3(-x-3)\]\[-3x+9 = (-3)*(-x) -3*(-3)\]\[-3x+9 = 3x + 3\]Oops.

Answer 5

-6

Answer 6

If \(x\) is any value other than 1, that statement isn't true, but we have no restrictions on \(x\), so our simplification is not correct.

Answer 7

Again, what is -3 divided by -3?

Answer 8

so the answer should be −3x − 3?

Answer 9

No, it should not be. Could you please tell me what -3 divided by -3 is?

Answer 10

1

Answer 11

Right. So why did you conclude \[\frac{-3x}{-3} = -x\]?

Answer 12

cause that was a multiple choice and my brother said it was that one lol

Answer 13

but okay if is not that one since is one it should be x − 3

Answer 14

did he explain how he got his answer? never trust anyone who gives you answers without explanation :-)

Answer 15

no lol

Answer 16

yes. x-3 is correct as we can see:

\[\frac{-3x+9}{-3} = \frac{x-3}{1}\]\[-3x+9 = -3(x-3)\]\[-3x+9 = -3x +9\checkmark\]

Answer 17

that is true for all values of \(x\), not just some of them.

Answer 18

ok thank you (:

Answer 19

especially don't trust answers given without explanation by someone who may secretly hope for you to get the answer wrong :-)

Answer 20

not that I ever would have done such a dastardly thing to my sister :-)

Answer 21

i know -.- lol he dropped out thou so he thinks by doing that he knows everything lol