Are 3 times x plus 33 all over x plus 11 and 3 equivalent? Using complete sentences explain why or why not.

Question

skullpatrol · Answer

Any ideas?

anonymous · Answer

is the question
"does  $\frac{3x+33}{x+11}=3$? "

ashleyisakitty · Answer

(3x+33)/{(x+11)*3}
{3*(x + 11)}{(x+ 11)*3}
(3/3)*(x + 11)/(x+11)
1*1
1

skullpatrol · Answer

Think about when x = -11 @ahoward79

skullpatrol · Answer

@ahoward79  are you still there?

anonymous · Answer

Im so confused..

skullpatrol · Answer

About what?

ashleyisakitty · Answer

Ahoward, i solved out the equation for you. Tell me what you have to say about the ending of it? Does it seem equivalent?

skullpatrol · Answer

You know that division by 0 is undefined, right?

anonymous · Answer

No it doesnt, but I dont really understand how you solved it.

anonymous · Answer

@Ashleyisakitty  it is not 1, but rather 3

anonymous · Answer

$$\frac{3x+33}{x+11}=\frac{3(x+11)}{x+11)}=\frac{3\cancel{(x+11)}}{\cancel{x+11}}=3$$ which will be true for all $x$ unless $x=-11$ in which case the original expression is 
$$\frac{0}{0}$$ which is undefined