Bryce insists that (2+x)/8 is equivalent to (1+x)/4. What mistakes do you think is being made and how could you demonstrate to Bryce that the two expressions are not equivalent?

Question

myininaya · Answer

(1+x)/4 *2/2=2(1+x)/4

myininaya · Answer

oops that should be 8 on the bottm

myininaya · Answer

(1+x)/4 *2/2=2(1+x)/8
2(1+x) is not the same as 2+x

anonymous · Answer

$$\frac{2+x}{8}=\frac{1+x}{4}\rightarrow \frac{8+4x}{8}=1+x \rightarrow 8+4x=8+8x $$
$$4x=8x \rightarrow x=2x$$
Which doesn't make sense since this says the variable x is equal to twice its value

myininaya · Answer

they are only equal when x=0

anonymous · Answer

That's true

myininaya · Answer

you can also graph these two and show that they aren't the same line

anonymous · Answer

you can do that as well

myininaya · Answer

you can also show him a counterexample to his logic

myininaya · Answer

by saying if we let x be 1 here what happens
we ger 3/8
but over we get 2/4
2/4 does not equal to 3/8
sorry bryce

anonymous · Answer

The math i did earlier covers all examples for any value of x, Which demonstrate that the two expressions are not equal when x is greater than or less than 0, it is only true when x=0 as myininaya stated earlier