F.2 mathz

2007-09-30 7:44 am
plz help me to answer the question,if you do not know the answer,plz answer no~I need the steep~Thank for your help~
1)Simplify the following:
(A) (6x-13/4x-8)+(7-3x/4x-8)
2)Make x the subject of the formula y=x+2/x-3.

回答 (2)

2007-09-30 7:54 am
✔ 最佳答案
1.(a)

( 6x - 13 ) / ( 4x - 8 ) + ( 7 - 3x ) / ( 4x - 8 )

= ( 6x - 13 + 7 - 3x ) / ( 4x - 8 )

= ( 3x - 6 ) / ( 4x - 8 )

= 3 ( x - 2 ) / 4 ( x - 2 )

= 3 / 4

2.

y = ( x + 2 ) / ( x - 3 )

y ( x - 3 ) = x + 2

xy - 3y = x + 2

xy - x = 3y + 2

x ( y - 1 ) = 3y + 2

x = ( 3y + 2 ) / ( y - 1 )
2007-09-30 7:55 am
1(a)
(6x-13/4x-8)+(7-3x/4x-8) (因為分母相同, 所以分子可以直接相加)
=3x-6/4x-8 (抽公因子(x-2))
=3(x-2)/4(x-2)
=3/4


2) y=x+2/x-3
y(x-3)=x+2
xy-3y=x+2
xy-x=2+3y
x(y-1)=2+3y
x=(2+3y)/(y-1)
參考: 自己


收錄日期: 2021-04-13 13:40:44
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20070929000051KK05832

檢視 Wayback Machine 備份