2/x + 8/3= 1/6 Solve for x Fractions
2007-07-19 20:44:47 · 11 answers · asked by fancy 1 in Science & Mathematics ➔ Mathematics
2/x + 8/3 = 1/6
Transpose 8/3
2/x + 8/3 - 8/3 = 1/6 - 8/3
2/x = 1/6 - 16/6
2/x = - 15/6
Multiply both sides of the equation by x
x(2/x) = (- 15/6)x
2 = - 15/6x
multiply both sides of the equation by 6
6(2) = - 6(15/6x)
12 = - 15x
Divide both sides of the equation by - 15
12 / - 15 = - 15x / - 15
12 / - 15 = x
Simplify
- 4/5 = x
- - - - - - - - s-
2007-07-20 02:21:25 · answer #1 · answered by SAMUEL D 7 · 2⤊ 0⤋
2/x + 8/3 = 1/6
2/x = 1/6 - 8/3
2/x = -5/2
2 = -5/2x
2 / (-5/2) = x
x = - 4/5 Answer
Proof:
(2 / [- 4/5]) + 8/3 = 1/6
(2 * [- 5/4]) = 1/6
- 10/4 + 8/3 = 1/6
- 5/2 + 8/3 = 1/6
- 15/6 + 16/6 = 1/6
1/6 = 1/6
2007-07-20 04:08:08 · answer #2 · answered by Jun Agruda 7 · 2⤊ 0⤋
2/x + 8/3 = 1/6
subtract 8/3 for both sides
2/x = -5/2
multiply x for both sides
2 = (-5/2)x
divide -5/2 for both sides
x = -4/5
2007-07-20 03:58:52 · answer #3 · answered by 7 · 0⤊ 0⤋
you may isolate first the term w/ x
2/x = 1/6 - 8/3
solve the right side of the equation:
2/x = - 5/2
cross multiply:
5x = -4
x = -4/5
2007-07-20 04:40:12 · answer #4 · answered by ronjo 2 · 0⤊ 0⤋
2/x = 1/6 - 8/3
2/x = 1/6 - 16/6
2/x = -15/6
x/2 = -6/15
x = -8/15
2007-07-20 03:50:54 · answer #5 · answered by tanec69 1 · 0⤊ 1⤋
x= -5/8
2007-07-20 03:49:01 · answer #6 · answered by Anonymous · 0⤊ 2⤋
2/x+8/3=1/6
2/x=-5/2
x=-4/5
2007-07-20 03:55:32 · answer #7 · answered by Anonymous · 1⤊ 0⤋
um subtract 8/3 from both sides..
2/x = -5/2 [*x]
2 = -5/2 * x [/-5/2]
x = -4/5
weird
2007-07-20 03:49:08 · answer #8 · answered by Jay 4 · 0⤊ 1⤋
X by 6x:-
12 + 16x = x
15x = - 12
x = - 12 / 15
x = - 4 / 5
2007-07-21 02:34:40 · answer #9 · answered by Como 7 · 1⤊ 0⤋
2/x=1/6-8/3
2/x=(1-16)/6
2/x=-15/6
-15x=12
x=12/-15
x=-4/5
2007-07-20 08:05:41 · answer #10 · answered by Anonymous · 0⤊ 0⤋