Solve the following equation. One point is given for showing steps and one point given for the correct solution.
(x - 3) /x = (x - 3) / (x - 6)

Question

Solve the following equation. One point is given for showing steps and one point given for the correct solution.
(x - 3) /x = (x - 3) / (x - 6)

shubhamsrg · Answer

any attempt ?

anonymous · Answer

I dont understand how to do it..

anonymous · Answer

can you help me?

whpalmer4 · Answer

$$\frac{(x-3)}{x} = \frac{(x-3)}{(x-6)}$$

Whenever you have something like that, cross-multiplying is a good place to start.

anonymous · Answer

Okay thank you!

anonymous · Answer

you might could eyeball it as well

anonymous · Answer

for example, if $x=3$ then both the left and right sides are zero
and if $x\neq 3$ then since the numerators are equal, the denominators would have to be equal as well. but there is not much chance for $x=x-6$