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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.\(92.4-27=\frac{a+350}{a}+315\)
\(\Leftrightarrow368-27=\frac{a+350}{a}+315\)
\(\Leftrightarrow\frac{a+350}{a}+315=341\)
\(\Leftrightarrow\frac{a+350}{a}=26\)
\(\Leftrightarrow a+350=a.26\)
\(\Leftrightarrow350=a.26-a\)
\(\Leftrightarrow a.\left(26-1\right)=350\)
\(\Leftrightarrow a.25=350\)
\(\Leftrightarrow a=14\)
a) \(697:\frac{15a+364}{a}=17\)
\(\Rightarrow\frac{15a+364}{a}=697:17\)
\(\Rightarrow\frac{15a+364}{a}=41\)
\(\Rightarrow15a+364=41a\)
\(\Rightarrow364=26a\Rightarrow a=364:26\)
\(\Rightarrow a=14\)
b)
\(368-27=\frac{a+350}{a}+315\)
\(341=\frac{a+350}{a}+315\)
\(\left(a+350\right):a=341-315\)
\(\left(a+350\right):a=26\)
\(a+350=26a\)
\(\Rightarrow350=25a\)
\(\Rightarrow a=14\)
\(697:\frac{15\cdot x+364}{x}=17\)
=> \(\frac{15\cdot x+364}{x}=697:17=41\)
=> \(15\cdot x+364=41x\)
=> \(15x+364=41x\)
=> \(364=41x-15x\)
=> \(364=26x\)
=> \(x=364:26=14\)
\(\Rightarrow\frac{15x+364}{x}=697:17=41\)
\(\Rightarrow15+\frac{364}{x}=41\)
\(\frac{364}{x}=41-15=26\)
x = 364 : 26 = 14
\(697:\frac{15x+364}{x}=17\)
\(\frac{15x+364}{x}=697:17=41\)
\(\frac{15x}{x}+\frac{364}{x}=41\)
\(15+\frac{364}{x}=41\)
\(\frac{364}{x}=41-15=26\)
\(x=364:26=14\)
\(92.4-27=\frac{x+350}{x}+315\)
\(\frac{x+350}{x}+315=341\)
\(\frac{x+350}{x}=341-315=26\)
\(\frac{x}{x}+\frac{350}{x}=26\)
\(1+\frac{350}{x}=26\)
\(\frac{350}{x}=26-1=25\)
\(x=350:25=14\)
\(697:\frac{15n+364}{n}=17\)
=>\(\frac{15n+364}{n}=697:17\)
=>\(\frac{15n}{n}+\frac{364}{n}=41\)
=>\(15+\frac{364}{n}=41\)
=>\(\frac{364}{n}=41-15=26\)
=>n=364:26
=>n=14