Solve 4 over x minus 4 equals the quantity of x over x minus 4, minus four thirds for x and determine if the solution is extraneous or not.

Question

Hero · Answer

@Warriorz13 That's considered giving answers

Warriorz13 · Answer

._.

Warriorz13 · Answer

That's all ANYONE does, except maybe you.

Hero · Answer

Do YOU, not what others do.

Warriorz13 · Answer

Yes I do.

Hero · Answer

@callielovesyhuu, is this the correct setup?

$$\dfrac{4}{x- 4} = \dfrac{x}{x - 4} - \dfrac{4}{3}$$

callielovesyhuu · Answer

yes @Hero

Hero · Answer

Okay, you can begin by subtracting $\dfrac{x}{x - 4}$ from both sides. If you do so, you'll get:

$$\dfrac{4}{x - 4} - \dfrac{x}{x - 4} = -\dfrac{4}{3}$$

Hero · Answer

@callielovesyhuu what do you think is the next step here?

callielovesyhuu · Answer

i got the answer now so thanks for your help

Hero · Answer

Please show the work you did to arrive at the correct result.

Hero · Answer

I'm curious to know how you arrived at the answer.

callielovesyhuu · Answer

my teacher did it for me lol

Hero · Answer

@callielovesyhuu show me the steps your teacher gave you.