已知方程7/4x=3-2/y. ①用含x的代数式表示y; ②用含y的代数式表示x。
3个回答
展开全部
解1:
7/(4x)=3-2/y
[7/(4x)]×y=[3-2/y]×y
(7y)/(4x)=3y-2
[(7y)/(4x)]-3y=3y-2-3y
[7/(4x)-3]y=-2
[(7-12x)/(4x)]y=-2
[(7-12x)/(4x)]y×[4x/(7-12x)]=-2×[4x/(7-12x)]
y=8x/(7-12x)
解2:
7/(4x)=3-2/y
[7/(4x)]×4x=(3-2/y)×4x
7=[(3y-2)/y]×4x
4x[(3y-2)/y]=7
4x[(3y-2)/y]×[y/(3y-2)]=7×[y/(3y-2)]
4x=7y/(3y-2)
4x÷4=[7y/(3y-2)]÷4
x=7y/[4(3y-2)]
x=7y/(12y-8)
7/(4x)=3-2/y
[7/(4x)]×y=[3-2/y]×y
(7y)/(4x)=3y-2
[(7y)/(4x)]-3y=3y-2-3y
[7/(4x)-3]y=-2
[(7-12x)/(4x)]y=-2
[(7-12x)/(4x)]y×[4x/(7-12x)]=-2×[4x/(7-12x)]
y=8x/(7-12x)
解2:
7/(4x)=3-2/y
[7/(4x)]×4x=(3-2/y)×4x
7=[(3y-2)/y]×4x
4x[(3y-2)/y]=7
4x[(3y-2)/y]×[y/(3y-2)]=7×[y/(3y-2)]
4x=7y/(3y-2)
4x÷4=[7y/(3y-2)]÷4
x=7y/[4(3y-2)]
x=7y/(12y-8)
推荐律师服务:
若未解决您的问题,请您详细描述您的问题,通过百度律临进行免费专业咨询