solve for x within an expression ?

2008-10-05 5:49 am
1/2x - 1/4 = 9/8 -2x

Give an exact answer rather than a decimal approximation.

回答 (7)

2008-10-05 6:11 am
✔ 最佳答案
1/2x - 1/4 = 9/8 - 2x
1/2x + 4/2x = 9/8 + 2/8
5/2x = 11/8
x = 11/8(2/5)
x = 22/40 or 11/20

Answer: 11/20 or 1 1/20

Proof:
1/2(11/20) - 1/4 = 9/8 - 2(11/20)
11/40 - 1/4 = 9/8 - 11/10
11/40 - 10/40 = 45/40 - 44/40
1/40 = 1/40
2008-10-05 8:27 am
Assume :-
(1/2) x - 1/4 = 9/8 - 2x
4x - 2 = 9 - 16x
20x = 11
x = 11 / 20
2008-10-05 6:07 am
1/2(x) - 1/4 = 9/8 - 2x
x/2 - 1/4 = 9/8 - 2x
8(x/2 - 1/4) = 8(9/8 - 2x)
4x - 2 = 9 - 16x
4x + 16x = 9 + 2
20x = 11
x = 11/20
2008-10-05 5:59 am
1/2x - 1/4 = 9/8 - 2x
1/2x + 2x = 9/8 + 1/4
5/2x = 11 / 8
x = (11 / 8) / 5/2
x = (11 / 8)(2/5)
x = 22 / 40
x = 11 / 20
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2008-10-05 5:55 am
1/2x - 1/4 = 9/8 - 2x

1/2x + 2x = 9/8 + 1/4

5/2x = 11/8

x = 11/20

Have a good day!
2008-10-05 5:55 am
5/2x=11/8
x=22/40 or .55
2008-10-05 5:54 am
5x/2=11/8

5x=11/4

x=11/20


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