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已知2x+3y=0,求下列代数式的值①5x+4y/3x-2y②x^2+xy-y^2/x^2-xy+y^2
题目详情
已知2x+3y=0,求下列代数式的值
①5x+4y/3x-2y
②x^2+xy-y^2/x^2-xy+y^2
①5x+4y/3x-2y
②x^2+xy-y^2/x^2-xy+y^2
▼优质解答
答案和解析
2x+3y=0
2x=-3y
x=-1.5y
5x+4y/3x-2y
=-1.5y*5+4y/-1.5y*3-2y
=(-7.5y+4y)/(-4.5y-2y)
=-3.5y/-6.5y
=7/13
x^2+xy-y^2/x^2-xy+y^2
=(2.25y^2-1.5y^2-y^2)/(2.25y^2+1.5y^2+y^2)
=-0.25y^2/3.75y^2
=-1/15
2x=-3y
x=-1.5y
5x+4y/3x-2y
=-1.5y*5+4y/-1.5y*3-2y
=(-7.5y+4y)/(-4.5y-2y)
=-3.5y/-6.5y
=7/13
x^2+xy-y^2/x^2-xy+y^2
=(2.25y^2-1.5y^2-y^2)/(2.25y^2+1.5y^2+y^2)
=-0.25y^2/3.75y^2
=-1/15
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