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a) 6/-x=x/-24
=> -x.x=6.-24
=>-x.x=-144
=>x=12 hay x=-12
b)9/x=-35/105
=>9/x=-1/3
=>x=9.3/-1=-27
=>x=-27
c)x-1/8=5/8
=>x=5/8+1/8
=>x=3/4
d)x-1/2-(3/2+x)=-2
=>-x+4/2=-2
=>-x/2=0
=>x=0
e)x+1/3=-12/5.10/6
x+1/3=-4
x=-4-1/3
x= -13/3
#YM
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\(\left|16-x\right|-2x+8=-6\)
\(\left|16-x\right|=2x-14\left(x\ge7\right)\)
\(\Leftrightarrow\left[{}\begin{matrix}16-x=2x-14\\16-x=14-2x\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=14\left(N\right)\\x=-2\left(L\right)\end{matrix}\right.\)
\(S=\left\{14\right\}\)
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\(ƯC\left(18,54\right)=Ư\left(18\right)=\left\{1;2;3;6;9;18\right\}\\ \Rightarrow x\in\left\{9;18\right\}\)
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a, \(\dfrac{4x}{7}=\dfrac{1}{5}+\dfrac{2}{3}=\dfrac{3+10}{15}=\dfrac{13}{15}\Rightarrow60x=91\Leftrightarrow x=\dfrac{91}{60}\)
b, \(\dfrac{5}{7}:x=\dfrac{1}{6}+\dfrac{4}{5}=\dfrac{5+24}{30}=\dfrac{29}{30}\Leftrightarrow x=\dfrac{5}{7}:\dfrac{29}{30}=\dfrac{150}{203}\)
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\(8=2^3\) \(12=2^2.3\) \(15=3.5\)
\(BCNN\left(8;12;15\right)=2^3.3.5=120\)
\(BC\left(8;12;15\right)=\left\{0;120;240;360;480;....\right\}\)
Biết rằng số học sinh từ \(300< x< 400\)
Vậy số học sinh khối 6 : \(360em\)
Số học sinh khối 6 bị thừa 5 em học sinh => \(360+5=365em\)
Vậy ....
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0,5x-\(\dfrac{2}{3}.\left(x-2\right)=\dfrac{1}{6}\)
\(\dfrac{1}{2}x-\dfrac{2}{3}x-\dfrac{4}{3}=\dfrac{1}{6}\)
\(x.\left(\dfrac{1}{2}+\dfrac{2}{3}\right)=\dfrac{1}{6}+\dfrac{4}{3}\)
\(x.\dfrac{7}{6}=\dfrac{3}{2}\)
\(x=\dfrac{3}{2}:\dfrac{7}{6}\)
\(x=\dfrac{9}{7}\)
`0,5x-2/3 .(x-2)=1/6`
`0,5x - 2/3 x + 4/3= 1/6`
` -1/6x = -7/6`
`x=7`
2x - 8 = -6
=> 2x = -6 + 8 = 2
=> x = 2 : 2 = 1
2x-8=6
2x =6+8
2x =14
x =14:2
x =7
Vậy x=7