Question

Solve the equation. 1 over 5x + 15 minus 3 over x + 3 = 5

a) x = negative 89 over 25
b) x = 89 over 25
c) x = negative 61 over 25
d) x = 61 over 25

Answer 1

\[\frac{ 1 }{ 5x+15 }-\frac{ 3 }{ x+3 } = 5\]
is this your question?

Answer 2

yes

Answer 3

so we start by finding a common denominator, this is easy because all we have to do is multiply the numerator and denominator of 3/(x+3) by 5, so we then get :

1/(5x+15) - 15/(5x+15) = 5

now that we have a common denominator, we can subtract to get

-14/(5x+15) = 5

multiply by the denominator to remove x from the denominator, we get:

-14 = 25x +75

subtract 75 from both sides:

89 = 25x

divide by 25 to get

89/25 = x

Answer 4

thank you thank you thank you very much!!!!!!!!!!!!!

Answer 5

you're welcome!