If 3x - 1/8 = 5x/16, then x = ???
Please explain. Thanks!
Algebra Question?
2008-04-15 2:31 pm
回答 (9)
2008-04-15 2:44 pm
✔ 最佳答案
First, you need to get all the x's on one side of the equation. A good way to start would be to multiply both sides by 16 and simplify:16*3x - 16*(1/8) = 16*(5x/16)
48x - 2 = 5x
Subtract 5x from both sides and simplify:
48x - 5x -2 = 0
43x - 2 = 0
Then add two to both sides and simplify:
43x - 2 + 2 = 0 + 2
43x = 2
Finally divide both sides by 43 and you get x:
43x/43 = 2/43
x = 2/43
Plug this answer in wherever x occurs in the original equation and you will find that this is correct.
2008-04-15 9:41 pm
Though there a multiple ways to do this...
Personally, I like to get rid of fractions by multiplying everything by the divisor(s) to start with.
3x - 1/8 = 5x/16
24x - 1 = 40x/16
384x - 16 = 40x
384x - 40x = 16
344x = 16
x = 16/344
x = 2/43
Personally, I like to get rid of fractions by multiplying everything by the divisor(s) to start with.
3x - 1/8 = 5x/16
24x - 1 = 40x/16
384x - 16 = 40x
384x - 40x = 16
344x = 16
x = 16/344
x = 2/43
2008-04-15 9:39 pm
add 1/8 to both sides to get 3x=5x/16+1/8
Multiply both sides by 16 to get 48x=5x+2
Subtract 5x from both sides to get 43x=2.
Divide both sides by 43 to get x=2/43.
Multiply both sides by 16 to get 48x=5x+2
Subtract 5x from both sides to get 43x=2.
Divide both sides by 43 to get x=2/43.
2008-04-15 9:38 pm
3x - 1/8 = 5x/16: Multiply both sides by 16
48x -2 = 5x
43x =2
x=2/43
48x -2 = 5x
43x =2
x=2/43
2008-04-15 9:36 pm
This is a simple rearrangement:
3x-1/8=5x/16
16(3x-1/8)=5x
48x-2=5x
48x-5x-2=0
43x-2=0
43x=2
x=2/43
3x-1/8=5x/16
16(3x-1/8)=5x
48x-2=5x
48x-5x-2=0
43x-2=0
43x=2
x=2/43
2008-04-15 9:36 pm
3x - 1/8 = 5x/16
=> 3x - 5x/16 = 1/8
=> (48x- 5x)/ 16 = 1/8
=> 43x = 2
=> x =2/43
=> 3x - 5x/16 = 1/8
=> (48x- 5x)/ 16 = 1/8
=> 43x = 2
=> x =2/43
2008-04-15 10:15 pm
3x - 1/8 = 5x/16
16(3x - 1/8) = 16(5x/16)
48x - 2 = 5x
48x - 5x = 2
43x = 2
x = 2/43
16(3x - 1/8) = 16(5x/16)
48x - 2 = 5x
48x - 5x = 2
43x = 2
x = 2/43
2008-04-15 9:45 pm
Multiply both sides of the equation by 16. After you've done that, the equation reads, "48x -16/8 = 5x."
Then subtract 48x from both sides, so that the x is only on one side. The equation now reads, "-16/8 = -43x"
-16/8 is the same thing as -2, so change it to read -2, just for simplicity's sake.
Then divide both sides by negative 43, so that you isolate the x out and get your final answer, which is, "x = 2/43."
Then subtract 48x from both sides, so that the x is only on one side. The equation now reads, "-16/8 = -43x"
-16/8 is the same thing as -2, so change it to read -2, just for simplicity's sake.
Then divide both sides by negative 43, so that you isolate the x out and get your final answer, which is, "x = 2/43."
2008-04-15 9:37 pm
one on 8 the other on 16
16/8=2
2(3x-1)=5x
6x-2=5x
-2=-x
x=2
16/8=2
2(3x-1)=5x
6x-2=5x
-2=-x
x=2
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