Multiply each side of the equation by (x+3)(4-x)
4(4-x) = 6(x+3)
16-4x = 6x+18
-10x = 2
x = -1/5
2006-06-11 06:30:31
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answer #1
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answered by jimbob 6
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I THINK:
Multiply by (x+3) and (4-x) to get 4(x+3) = 6(4-x) - that is the bit I'm not sure about.
Then multiply out the brackets to get 4x+12 = 24-6x
Then add 6x to both sides to get 10x+12 = 24
Then subtract 12 from both sides to get 10x = 12
Then divide both sides by 10 to get x = 1.2
It is good that you are asking for the steps (though I expect this is to show 'your' working rather than to help your understanding, but if you are stuck then ask a teacher. They do want you to understand.)
2006-06-11 13:27:48
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answer #2
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answered by guest 5
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4/(x+3)=6/(4-x) Given
4(4-x)=6(x+3) Means/Extremes
16-4x=6x+18 Distributive Property of Equality
16= 4x+6x+18 Add "4x" to both sides
-18+16=4x+6x Subtract 18 from both sides
-2=10x -18+16= -2 4x+6x=10x
-2/10=x Divide 10 from both sides
-1/5 (or -.2) is "x" Ruduce
2006-06-11 13:48:06
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answer #3
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answered by Anonymous
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4/(x+3) = 6/(4-x)
4(4-x) = 6(x+3)
16 - 4x = 6x + 18
16 - 18 = 6x + 4x
-2 = 10x
x = -2 / 10
x = -1/5 or -0/2
2006-06-11 21:15:26
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answer #4
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answered by Kemmy 6
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4/(x+3) = 6/(4-x)
multiply both sides by (4-x), you get
(4-x) (4/(x+3))=6 which equals 4(4/(x+3)) - x((4/(x+3))
you can slove the rest yourself, I'm sure!
2006-06-11 13:30:22
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answer #5
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answered by Anonymous
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4/(X+3) = 6/(4-X)
x (X+3)(4-X) highest common factor
4(4-X) = 6(X+3)
16 - 4X = 6X + 18
6X + 4X = 16 - 18
10X = - 2
X = - 2/10
X = - 1/5
2006-06-12 13:05:21
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answer #6
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answered by neha 1 1
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bringing like terms 2gether (cross multiply)
4/6= (x+3)/(4-x)
2/3= (x+3)/(4-x)
cross multiply
2(4-x)= 3(x+3)
8-2x = 3x+9
like terms 2gether again
8-9 = 3x+2x
-1= 5x
therefore: x = -1/5= -0.2
2006-06-11 15:25:25
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answer #7
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answered by hassan l 1
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4.(4-X) = 6.(X+3)
16-4X=6X+18
-10X=2 .(-1)
X= - 2/10
X= - 0,5
2006-06-12 08:35:42
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answer #8
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answered by carlos_frohlich 5
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4/(x+3)=6/(4-x)
4(4-x)=6(x+3)
16-4x=6x+18
16-18=6x+4x
-2=10x
-2/10=x
x=-0.2
2006-06-11 13:40:29
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answer #9
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answered by Hmmmmm 2
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use a calculator
2006-06-11 13:15:41
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answer #10
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answered by Anonymous
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