2007-04-06 18:19:51 · 14 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
3/4 = x/6 - 5x-9
3/4 = (3x-10x)/18
3/4 = -7x/18
-28x = 54
x = - 27/14
Therefore, the value of X is -27/14.
2007-04-06 18:29:29 · answer #1 · answered by ŞΘFΙΛ 3 · 1⤊ 0⤋
If you multiply the entire equation by the least common denominator you can eliminate the fractions.
Multiply each by 36.
(3/4)36 = (3)9 = 27
(5x/9)36 = (5x)4 = 20x
(x/6)36 = 6x
The new equation is
27 + 20x = 6x
27 = -14x
27/-14 = x
2007-04-06 18:28:07 · answer #2 · answered by suesysgoddess 6 · 1⤊ 1⤋
-1.9285714
or rather
x = (3/4)*(-54/21)
When solving, move both of the fractions involving x to one side. Then find a common denominator for those two fractions. To do so, multiply both the top and bottom each fraction by the the denominator of the other fraction; that is, multiply 5x/9 times (6/6) and multiply x/6 times (9/9). You should get (3/4) = (9x/54) - (30x/54). Subtract to get 3/4 = -21x/54. Then multiply it out to get x.
2007-04-06 18:27:55 · answer #3 · answered by komodo_dragon17 2 · 0⤊ 1⤋
( 3 / 4 ) + ( 5x / 9 ) = ( x / 6 )
(3 / 4)(9 / 9) + (5x / 9)(4 / 4) = (x / 6)
(27 / 36) + (20x / 36) = (x / 6)
(27 + 20x / 36) = (x / 6)(6 / 6)
(27 + 20x / 36) = (6x / 36)
27 + 20x = 6x
14x = -27
x = (-27 / 14)
2007-04-06 20:10:34 · answer #4 · answered by brian 1 · 0⤊ 0⤋
3/4 + 5x/9 = x/6
x/6 - 5x/9 = 3/4
3x/18 - 10x/18 = 3/4
3x - 10x = 18 * 3/4
- 7x = 27/2
x = - 27/14
2007-04-06 20:15:16 · answer #5 · answered by Anonymous · 0⤊ 0⤋
CLEAR the equation of all fractions by mutliplying both sides if the equation(every term) by the LCD (Least Commonn Denominator)
LCD of 4,6,9 = 36 ... mutiply every fraction by 36/1
(36/1)(3/4) + (36/1)(5x/9) = (36/1)(x/6)
Simplify fractions:
27 + 20 x = 6 x
now, solve this simple equation with no fractions!
-6x both sides 27 +14 x =0
subtract 27 both sides 14x= -27
divide by 14 x = -27 / 14
ANSWER: x = -27 / 14
:)
2007-04-06 18:34:07 · answer #6 · answered by Anonymous · 0⤊ 1⤋
3/4 + 5/9x = x/6
put the x together
5/9x - x/6 = -3/4
7/18x = -3/4
x = -3/4 ÷ 7/18
= -27/14
2007-04-06 18:57:40 · answer #7 · answered by Anonymous · 0⤊ 0⤋
36(3/4)+36(5x/9)=36(x/6)
27+20x=6x
27+20x-6x=0
14x= -27
x= -27/14
2007-04-06 18:33:13 · answer #8 · answered by Anonymous · 1⤊ 0⤋
3/4=x/6-5x/9
3/4=(3x-10x)/18
3/2=(-7x)/9
27/2=-7x
-27/14=x thats the ans
2007-04-06 18:39:10 · answer #9 · answered by Faisal 1 · 0⤊ 0⤋
Multiply all numbers by 36
27+20x=6x
14x=-27
x=-27/14
2007-04-06 19:27:37 · answer #10 · answered by Dave aka Spider Monkey 7 · 0⤊ 0⤋