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2/x-1=3/x

2007-11-30 03:10:51 · 10 answers · asked by lisa g 1 in Science & Mathematics Mathematics

10 answers

The first important rule is that x≠0 or 1!

Multiply both sides by x(x-1):
2x=3(x-1)
2x=3x-3
-x=-3
x=3

Check:
2/(3-1)=3/3
2/2=3/3
1=1

2007-11-30 03:16:25 · answer #1 · answered by Anonymous · 6 1

(x - 1) can be totally in the denominator or the denominator on the LHS may only have x. I'll solve both.

2/(x - 1) = 3/x
-> 2x = 3x - 3
-> x = 3

(or)

(2/x) - 1 = 3/x
-> 2 - x = 3 (Multiplying by x on both sides)
-> x = -1

2007-11-30 03:39:04 · answer #2 · answered by Akilesh - Internet Undertaker 7 · 4 1

I suppose you want to write 2/(x-1) = 3/x The parenthesis are important here.

Just multiply in cross: (but remembering that x cannot be zero or 1)

2x = 3(x-1) ==> 2x = 3x - 3 ==> 3x - 2x = 3 ==> x = 3 OK

2007-11-30 03:18:18 · answer #3 · answered by vahucel 6 · 5 1

2x + 2y = 20 using the simultaneous technique 2x - 2y = 4 ____________ 4x = 24 ( divide by using 4) x = 6 exchange x in considered one of the two equations 2x + 2y = 20 2 (6) + 2y = 20 12 +2y = 20 2y = 20 - 12 2y = 8 (divide by using 2) y = 4 answer : X = 6 , Y = 4

2016-10-18 09:49:41 · answer #4 · answered by poore 4 · 0 0

x=-1

2007-11-30 03:13:26 · answer #5 · answered by neztet 1 · 0 7

wwefan76, vahucel, and answersgeek are the only ones with the right answer. To the other answerers, go ahead and give me a thumbs down for supporting those people. I don't give a **** what you guys think! Plus, I did the problem by hand and guess what, their answers matched!

2007-11-30 14:26:13 · answer #6 · answered by Anonymous · 5 0

2/x-1=3/x
2/(-1)-1 =3/(-1)
-2-1 = -3
-3=-3
X=-1

2007-11-30 03:21:39 · answer #7 · answered by huntnikk2000 3 · 0 5

2/x-1=3/x
l.c.m= x
2-x=3
-x=1
x=-1

2007-11-30 03:49:03 · answer #8 · answered by Little Princess 1 · 0 5

2/x-1=3/x
multiply throught out with x
2-x=3
-x=3-2
-x=1
x=-1

2007-11-30 03:13:19 · answer #9 · answered by Siva 5 · 2 7

multiply both sides by x to begin with
x(2/x-1)=3/x(x)
you get:
2-x=3
then solve for x, and you get x=-1

2007-11-30 03:16:56 · answer #10 · answered by S C 4 · 0 6

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