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Bài 1:
a) \(=\dfrac{8}{15}\left(\dfrac{7}{13}+\dfrac{6}{13}\right)=\dfrac{8}{15}.1=\dfrac{8}{15}\)
b) \(=\dfrac{3.3-7-2.4}{12}=-\dfrac{6}{12}=-\dfrac{1}{2}\)
Bài 2:
\(\dfrac{x}{2,7}=-\dfrac{2}{3,6}\Rightarrow x=\dfrac{\left(-2\right).2,7}{3,6}\Rightarrow x=-\dfrac{3}{2}\)
Bài 3:
\(\dfrac{x}{2}=\dfrac{y}{5}=\dfrac{x+y}{2+5}=-\dfrac{21}{7}=-3\)
\(\Rightarrow\left\{{}\begin{matrix}x=\left(-3\right).2=-6\\y=\left(-3\right).5=-10\end{matrix}\right.\)
\(-\dfrac{8}{11}.x=\dfrac{2}{5}.\dfrac{1}{4}\)
\(-\dfrac{8}{11}.x=\dfrac{2}{20}\)
\(-\dfrac{8}{11}.x=\dfrac{1}{10}\)
\(x=\dfrac{1}{10}:-\dfrac{8}{11}\)
\(x=-\dfrac{11}{81}\)
Chọn d
a)x/-15=-60/x
<=> x.x=-15.(-60)
2x=900
x=900:2
x=450
vậy x=450
b) -2/x=-x/8
x.(-x)=-2.8
-2x=-16
x=-16:(-2)
x=8
vậy x=8
a) Ta có: x /-15 = -60/x <=> (-15)(-60)= x.x
<=> 900= x^2 => x= -30; 30
b) Ta có : (-2)*8 = x*(-x)
<=> -16= x*(-x) <=> 16= x^2
=> x= -4; 4
1: x=3/4-1/2=3/4-2/4=1/4
2: x-1/5=2/11
=>x=2/11+1/5=21/55
3: x-5/6=16/42-8/56
=>x-5/6=8/21-4/28=5/21
=>x=5/21+5/6=15/14
4: x/5=5/6-19/30
=>x/5=25/30-19/30=6/30=1/5
=>x=1
5: =>|x|=1/3+1/4=7/12
=>x=7/12 hoặc x=-7/12
6: x=-1/2+3/4
=>x=3/4-1/2=1/4
11: x-(-6/12)=9/48
=>x+1/2=3/16
=>x=3/16-1/2=-5/16
1)x= 1/4
2)x= 2/11+ 1/5
x= 21/55
3)x - 5/6 = 5/21
x = 5/21+5/6
x = 15/14
4)x/5 = 5/6 + -19/30
x:5 = 1/5
x = 1/5.5
x = 1
5) |x| - 1/4 = 6/18
|x| = 6/18 - 1/4
|x| =7/12
⇒x= 7/12 hoặc -7/12
6)x = -1/2 +3/4
x= 1/4
7) x/15 = 3/5 + -2/3
x:15 = -1/15
x = -1/15. 15
x = -1
8)11/8 + 13/6 = 85/x
85/24 = 85/x
⇒ x = 24
9) x - 7/8 = 13/12
x = 13/12 + 7/8
x = 47/24
10)x - -6/15 = 4/27
x = 4/27 + (-6/15)
x = -34/135
11) -(-6/12)+x = 9/48
x= 9/48 - 6/12
x = -5/16
12) x - 4/6 = 5/25 + -7/15
x -4/6 = -4/15
x = -4/15 + 4/6
x = 2/5
a) \(\frac{x}{-15}=-\frac{60}{x}\)
\(\Rightarrow x.x=\left(-60\right).\left(-15\right)\)
\(\Rightarrow x^2=900=30^2\)
\(\Rightarrow x=30\)
b) \(-\frac{2}{x}=-\frac{x}{\frac{8}{25}}\)
\(\Rightarrow x.x=-2.\frac{-8}{25}\)
\(\Rightarrow x^2=\frac{16}{25}=\left(\frac{4}{5}\right)^2\)
\(\Rightarrow x=\frac{4}{5}\)
\(a,\frac{x}{-15}=\frac{-60}{x}\)
\(\Rightarrow x.x=\left(-60\right).\left(-15\right)\)
\(\Rightarrow x^2=900\)
\(\Rightarrow x^2=\orbr{\begin{cases}30^2\\-30^2\end{cases}}\)
\(\Rightarrow x=\orbr{\begin{cases}30\\-30\end{cases}}\)
\(b,\frac{-2}{x}=\frac{-x}{8}:25\)
\(\Rightarrow-x^2=-2.8.25=-400\)
\(\Rightarrow x^2=400\)
\(\Rightarrow x=\orbr{\begin{cases}20\\-20\end{cases}}\)
\(\dfrac{34-x}{x+12}=\dfrac{8}{15}\\ \Rightarrow15.\left(34-x\right)=8.\left(x+12\right)\\ \Rightarrow510-15x=8x+96\\ \Rightarrow8x+15x=510-96\\ \Rightarrow23x=414\\ \Rightarrow x=18\)
Vậy \(x=18\)
\(-\frac{8}{15}< \frac{x}{15}< -\frac{2}{15}\)
=> \(-8< x< -2\)
=> \(x\in\left\{-7;-6;-5;-4;-3\right\}\)
Ta có : \(\frac{-8}{15}< \frac{x}{15}< \frac{-2}{15}\)
\(\Rightarrow-8< x< -2\)
\(\Rightarrow x\in\left\{-7;-6;-5;-4;-3\right\}\)
Vậy \(x\in\left\{-7;-6;-5;-4;-3\right\}\)