Question

Solve using LCD. Check for extraneous solutions

Answer 1

\[\frac{ 1 }{ 2x }+\frac{ 3 }{ x+7 }=\frac{ -1 }{ x }\]

Answer 2

@Nnesha

Answer 3

i was gonna make the denominator the same for the first 2, but doesn't that ruin the equation, as you need to make all 3 since there is a = sign?

Answer 4

solve left side first

Answer 5

oh wait what am i thinking just multiply first one by x+7 and other by 2x

Answer 6

right?

Answer 7

perfect
and your denominator are different so final denominator would be both 2x(x+7)

Answer 8

and yes you are right multiply first one top part by x+7 and 2nd by 2x

Answer 9

so first 2 i got 7x+7
2x(x+7)

Answer 10

<<fractioned

Answer 11

right

Answer 12

now you can cross multiply

Answer 13

distribute bracket by 2x

Answer 14

-2x^2-14x=7x^2+7x

Answer 15

yes now solve :)

Answer 16

9x^2=21x?

Answer 17

*-21x

Answer 18

right

Answer 19

oh right, yea

Answer 20

so 7x+14x = 21x is right

Answer 21

yea

Answer 22

now what?

Answer 23

-2x^2-14x=7x^2+7x
subtract 7x^2 both side then you should get what x^2 ??

Answer 24

-9x^2

Answer 25

yes right

Answer 26

i forgot how to add

Answer 27

nope you are tired

Answer 28

:D :)

Answer 29

yea...very true. now what should i do?

Answer 30

subtract 21x both side
then find gcf