3x over 4x subtract 12 subtract 9 over 4x subtract12 (3x)/(4x - 12 -) - (9)/(4x - 12) ​

Question

3x over 4x subtract 12 subtract 9 over 4x subtract12


`(3x)/(4x - 12 -) - (9)/(4x - 12)`
​

Answer 1

`(3)/(4)`

Explanation:

Both fractions have a common denominator, so you can subtract the numerators with the same denominator at the bottom:

`(3x-9)/(4x-12)`

Then you can factor:

`(3(x-3))/(4(x-3))`

Both (x-3)s will cancel out, leaving

`\frac {3}{4}`

Answer 2

Answer:
`\bold{x=(3)/(4)}`

Explanation:

`(3x)/(4x-12)-(9)/(4x-12)\\\\\\= (3x-9)/(4x-12)\\\\\\=(3(x-3))/(4(x-3))\\\\\\=(3)/(4)`