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15.A+364A=697:1715.A+364A=697:17
15.A+364A=4115.A+364A=41
15+364A=4115+364A=41
364A=41−15364A=41−15
364A=26364A=26
A=364:26A=364:26
A=14A=14
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a,697:[(15.x+364):x]=17
=>(15x+364):x=679:17=41
=>\(\frac{15x}{x}+\frac{364}{x}=41\)
=>\(15+\frac{364}{x}=41\)
=>\(\frac{364}{x}=41-15=26\)
=>\(x=\frac{364}{26}=14\)
b,92.4-27=(x+350):x+317
=>\(341=\left(x+350\right):x+317\)
=>\(\left(x+350\right):x=341-317=24\)
=>\(\frac{x}{x}+\frac{350}{x}=24\)
=>\(1+\frac{350}{x}=24\)
=>\(\frac{350}{x}=23\) => \(x=350:23=\frac{350}{23}\)
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.\(92.4-27=\frac{a+350}{a}+315\)
\(\Leftrightarrow368-27=\frac{a+350}{a}+315\)
\(\Leftrightarrow\frac{a+350}{a}+315=341\)
\(\Leftrightarrow\frac{a+350}{a}=26\)
\(\Leftrightarrow a+350=a.26\)
\(\Leftrightarrow350=a.26-a\)
\(\Leftrightarrow a.\left(26-1\right)=350\)
\(\Leftrightarrow a.25=350\)
\(\Leftrightarrow a=14\)
b, 92 : 4 - 27 = \(\dfrac{x+350}{x}\) + 315
23 - 27 = 1 + \(\dfrac{350}{x}\) + 315
316 + \(\dfrac{350}{x}\) = -4
\(\dfrac{350}{x}\) = - 316 - 4
\(\dfrac{350}{x}\) = -320
-320 \(x\) = 350
\(x\) = 350: (-320)
\(x\) = - \(\dfrac{35}{32}\) (loại)
Vậy \(x\) \(\in\) \(\varnothing\)
c, 720 : [ 41 - (2\(x\) - 5)] = 23.5
41 - (2\(x\) - 5) = 720 : (23.5)
41 - 2\(x\) + 5 = 18
46 - 2\(x\) =18
2\(x\) = 46 - 18
2\(x\) = 28
\(x\) = 28: 2
\(x\) = 14
Vậy \(x\) = 14
Giải câu b:
92.4 - 27 = \(\frac{a+350}{a}\)+ 315
368 - 27 = \(\frac{a+350}{a}\)+ 315
341 = \(\frac{a+350}{a}\)+ 315
\(\frac{a+350}{a}\)= 341 - 315
\(\frac{a+350}{a}\)= 26
a + 350 = 26.a
26a - a = 350
(26 - 1).a = 350
25.a = 350
a = 350 : 25
a = 14