Finding x with fractions

[gangnamstyle]

correct answer is x=2/3, 3

ive forgotten how to solve this kind of equation:|

 

[Deleted member 4993]

correct answer is x=2/3, 3

ive forgotten how to solve this kind of equation:|

Just treat it like you need to find

\(\displaystyle \dfrac{1}{2}\ + \ \dfrac{3}{7} \ + \ \dfrac{1}{11} \ = \ ? \ \)

In other words,

find the lowest-common-denominator (LCD)

multiply all the terms by the LCD

simplify

solve

 

[topsquark]

correct answer is x=2/3, 3

ive forgotten how to solve this kind of equation:|

First factor the 5 out of the second term. Then multiply both sides by (3x - 7)*5*(x - 1)*(3x - 1) and simplify. That will make a linear equation in x. Note that you must be careful...x cannot be such that one of the denomiators don't blow up (ie. x can't be equal to 7/3).

-Dan