What is the solution to the rational equation 4/3-2/x-5=6/3x-15?
x = –8

x = –2

x = 2

x = 8

Question

What is the solution to the rational equation 4/3-2/x-5=6/3x-15?
x = –8 

 x = –2 

 x = 2 

 x = 8

acacia · Answer

combine the fractions on both sides of the equation and bring x into the numerator

acacia · Answer

remember you need a common denominator to add or subtract fractions

acacia · Answer

First write

4/3 + 2/x+5 
and 
-6/3x+15

as a single fraction

nurali · Answer

LHS:
4/3 + 2/(2-5) = 4/3 + 2/-3 = 2/3

RHS:

-6/(3(2) - 15) = -6/-9 = 2/3

so x=2

acacia · Answer

sorry I probably didn't articulate that well enough

write
4/3 + 2/x+5  as a single fraction
and
-6/3x+15 as a single fraction

keep them seperate
6/ 3x+15 = -6/ 3x+15

anonymous · Answer

Draw the equation for us it be easier.

anonymous · Answer

Thanks guys(:

nurali · Answer

Anytime.