(7/15)/x=(8/15)/(7x/8+15)怎么解一步一步解

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(7/15)/x=(8/15)/(7x/8+15)怎么解一步一步解

(7/15)/x=(8/15)/(7x/8+15)怎么解一步一步解
(7/15)/x=(8/15)/(7x/8+15)怎么解
一步一步解

(7/15)/x=(8/15)/(7x/8+15)怎么解一步一步解
∵(7/15)/x=(8/15)/(7x/8+15)==>(7/15)/x=(8/15)[8/(7x+120)]
==>7/(15x)=64/[15(7x+120)]
==>7/x=64/(7x+120)
==>7(7x+120)=64x
==>49x+840=64x
==>840=15x
==>56=x
∴原方程的解是x=56

先把等号右边简化 8*8 /[(7x+120)*15]
所以 7/15x=64/[15*(7x+120)]
64x=49x+120*7
15x=120*7
x=56

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