Question

solve
1/3x+9 - 2/x+3 = 2

Answer 1

Is that\[\frac{ 1 }{ 3x + 9 } - \frac{ 2 }{ x + 3 } = 2\]?

It's hard to tell with the way you wrote it just what's in the numerator and denominator.

Answer 2

yes

Answer 3

\[\frac{ x + 3 }{ (3x + 9)(x + 3) } - \frac{ 2(3x + 9) }{ (x + 3)(3x + 9) } = 2\]You now have a common denominator for the 2 terms on the left. Can you handle it from here or do you want more help?

Answer 4

i think i got it. dont i cancel them out then it will be -1/ (3x+9)(x+3) = 2

Answer 5

\[\frac{ (x + 3) - (6x + 18) }{ (3x + 9)(x + 3) } = 2\]\[\frac{ -5x - 15 }{ (3x + 9)(x + 3) } = 2\]\[\frac{ -5\cancel{(x + 3)} }{ (3x + 9)\cancel{(x + 3)} } = 2\]

Answer 6

-5 = 2(3x + 9)

Answer 7

then multiply both sides by the 3x+9 and then simplify?

Answer 8

yes, you got it!

Answer 9

it would be better to notice that 3x+9 is 3(x+3)
your common denominator is 3(x+3)
multiply the 2nd fraction by 3/3

Answer 10

Good luck to you in all of your studies and thax for the recognition! @minimoo

Answer 11

thanks :)

Answer 12

uw!