Question

How do you solve `\frac { x + 3} { x + 4} = \frac { x + 4} { x + 6}`?

Answer 1

I tried this:

Explanation:

Let us get rid of the denominators multiplying them by the opposite numerators:

`(color(red)(x+6))(x+3)=(color(red)(x+4))(x+4)`

`cancel(x^2)+3x+6x+18=cancel(x^2)+4x+4x+16`

rearrange:

`3x+6x-4x-4x=16-18`

`x=-2`