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\(697:\frac{15\cdot x+364}{x}=17\)
=> \(\frac{15\cdot x+364}{x}=697:17=41\)
=> \(15\cdot x+364=41x\)
=> \(15x+364=41x\)
=> \(364=41x-15x\)
=> \(364=26x\)
=> \(x=364:26=14\)
\(\Rightarrow\frac{15x+364}{x}=697:17=41\)
\(\Rightarrow15+\frac{364}{x}=41\)
\(\frac{364}{x}=41-15=26\)
x = 364 : 26 = 14
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\(697:\frac{15a+364}{a}=17\)
\(\Leftrightarrow\frac{15a+364}{a}=41\Leftrightarrow15a+364=41a\Leftrightarrow15a-41a=-364\Leftrightarrow-26a=-364\Leftrightarrow a=14\)
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a, \(\left(2x-4\right)\left(3x+12\right)=0\)
\(\Rightarrow\orbr{\begin{cases}2x-4=0\\3x+12=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}2x=4\\3x=-12\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=2\\x=-4\end{cases}}\)
b, \(697\div\frac{15x+364}{x}=17\)
\(\Rightarrow\frac{15x+364}{x}=697\div17\)
\(\Rightarrow\left(15x+364\right)\div x=41\)
\(\Rightarrow15x+364=41x\)
\(\Rightarrow15x-41x=-364\)
\(\Rightarrow-26x=-364\)
\(\Rightarrow x=-364\div\left(-26\right)\)
\(\Rightarrow x=14\)
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a.\(697:\frac{15.a+364}{a}=17\)
\(\Leftrightarrow\frac{15.a+364}{a}=41\)
\(\Leftrightarrow15.a+364=41.a\)
\(\Leftrightarrow15.a-41.a=-364\)
\(\Leftrightarrow a.\left(15-41\right)=-364\)
\(\Leftrightarrow a.\left(-26\right)=-364\)
\(\Leftrightarrow a=14\)
b.\(92.4-27=\frac{a+350}{a}+315\)
\(\Leftrightarrow368-27=\frac{a+350}{a}+315\)
\(\Leftrightarrow\frac{a+350}{a}+315=341\)
\(\Leftrightarrow\frac{a+350}{a}=26\)
\(\Leftrightarrow a+350=a.26\)
\(\Leftrightarrow350=a.26-a\)
\(\Leftrightarrow a.\left(26-1\right)=350\)
\(\Leftrightarrow a.25=350\)
\(\Leftrightarrow a=14\)
\(697:\frac{15n+364}{n}=17\)
=>\(\frac{15n+364}{n}=697:17\)
=>\(\frac{15n}{n}+\frac{364}{n}=41\)
=>\(15+\frac{364}{n}=41\)
=>\(\frac{364}{n}=41-15=26\)
=>n=364:26
=>n=14