Question

What is the solution to the rational equation 4/3 + 2/(x-5) = -6/(3x - 15) ?
a. x = –8
b. x = –2
c. x = 2
d. x = 8

I think its c, am i right?

Answer 1

so what happens when you put your answer, x = 2, into the equation?

Answer 2

LHS:
4/3 + 2/(2-5) = 4/3 + 2/-3 = 2/3

RHS:

-6/(3(2) - 15) = -6/-9 = 2/3

so you are correct. do you see how you can check your answer by substituting back?

Answer 3

so i was right..

Answer 4

yes, and now you know how to check your answers yourself :)

Answer 5

yep, thanks!