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` 5/8 -x = 7/6`
`=> x= 5/8 -7/6`
`=>x= 30/48 - 56/48`
`=>x=-26/48`
`=>x=-13/24`
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`1/6 + 1/5 :x =-7 /18`
`=> 1/5 :x =-7 /18 -1/6`
`=> 1/5 :x =-7 /18- 3/18`
`=> 1/5 :x =-5/9`
`=>x= 1/5 : (-5/9)`
`=>x= 1/5 xx (-9/5)`
`=>x=-9/25`
a: x=5/8-7/6=15/24-28/24=-13/24
b: =>1/5:x=-7/18-1/6=-7/18-3/18=-10/18=-5/9
=>x=-1/5:5/9=-9/25
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1a) \(\frac{x-3}{x+7}=\frac{-5}{-6}\)
=> \(\frac{x-3}{x+7}=\frac{5}{6}\)
=> (x - 3).6 = 5.(x + 7)
=> 6x - 18 = 5x + 35
=> 6x - 5x = 35 + 18
=> x = 53
b) \(\frac{x-7}{x+3}=\frac{4}{3}\)
=> (x - 7). 3 = (x + 3). 4
=> 3x - 21 = 4x + 12
=> 3x - 4x = 12 + 21
=> -x = 33
=> x = -33
c) \(\frac{x-10}{6}=-\frac{5}{18}\)
=> (x - 10) . 18 = -5 . 6
=> 18x - 180 = -30
=> 18x = -30 + 180
=> 18x = 150
=> x = 150 : 18 = 25/3
d) \(\frac{x-2}{4}=\frac{25}{x-2}\)
=> (x - 2)(x - 2) = 25 . 4
=> (x - 2)2 = 100
=> (x - 2)2 = 102
=> \(\orbr{\begin{cases}x-2=10\\x-2=-10\end{cases}}\)
=> \(\orbr{\begin{cases}x=12\\x=-8\end{cases}}\)
e) \(\frac{7}{x}=\frac{x}{28}\)
=> 7 . 28 = x . x
=> 196 = x2
=> x2 = 142
=> \(\orbr{\begin{cases}x=14\\x=-14\end{cases}}\)
f) \(\frac{40+x}{77-x}=\frac{6}{7}\)
=> (40 + x) . 7 = (77 - x).6
=> 280 + 7x = 462 - 6x
=> 280 - 462 = -6x + 7x
=> -182 = x
=> x = -182
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\(12\left(x-3\right)=5\left(x-1\right)+4\)
\(\Rightarrow12x-36=5x-5+4\)
\(\Rightarrow12x-5x=-5+4+36\)
\(\Rightarrow7x=35\)
\(\Rightarrow x=5\)
\(-6\left(x-7\right)+2\left(x+10\right)=x-18\)
\(-6x+42+2x+20=x-18\)
\(-6x+2x-x=-18-20-42\)
\(-5x=-80\)
\(x=16\)
\(7\left(2x-1\right)-12\left(x-5\right)=3\)
\(\Rightarrow14x-7-12x+60=3\)
\(\Rightarrow14x-12x=3-60+7\)
\(\Rightarrow2x=-50\)
\(\Rightarrow x=-25\)
\(\left|2x-1\right|=17\)
\(\Leftrightarrow\orbr{\begin{cases}2x-1=17\\2x-1=-17\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=9\\x=-8\end{cases}}\)
\(\left|8-3x\right|=14\)
\(\Leftrightarrow\orbr{\begin{cases}8-3x=14\\8-3x=-14\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=-2\\x=\frac{22}{3}\end{cases}}\)
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1) (2 4/5+3 1/2).x =18/17
(14/5 + 7/2).x = 18/17
(28/10 + 35/10). x = 18/17
63/10.x = 18/17
x = 18/17 : 63/10
x =...(cái này bạn tự tính nhé :v )
2) Làm tương tự như phần 1
\(6\frac{1}{3}x-5\frac{1}{3}x=\frac{1}{7}\)
\(\Leftrightarrow\frac{19}{3}x-\frac{16}{3}x=\frac{1}{7}\)
\(\Leftrightarrow\frac{3}{3}x=\frac{1}{7}\)
\(\Leftrightarrow x=\frac{1}{7}\)
Vậy \(x=\frac{1}{7}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Mọi người tk mình đi mình đang bị âm nè!!!!!!
Ai tk mình mình tk lại nha !!!
![](https://rs.olm.vn/images/avt/0.png?1311)
a, (10/3:x).(-5/4)=-10/3
10/3:x=-10/3:(-5/4)
10/3:x=8/3
x=10/3:8/3
x=5/4
b,(-6/5+x):(-18/5)=-1/4
-6/5+x=-1/4.(-18/5)
-6/5+x=9/10
x=9/10-(-6/5)=9/10+6/5
x=21/10
c,-22/15.x+1/3=-2/5
-22/15.x=-2/5-1/3=-11/15
x=-11/15:(-22/15)
x=11/21
d,(0,25-30%x).1/3=-31/6+1/4=-59/12
1/4-3/10x=-59/12:1/3=-59/4
3/10x=1/4-(-59/4)=1/4+59/4=15
x=15:3/10
x=50
e,(0,5x-3/7):1/2=8/7
1/2x=8/7.1/2=4/7
x=4/7:1/2
x=8/7
Tìm x,biết :1/6+ -5/7:x= - 7/18
=> -5/7 : x = -7/18 - 1/6
=> -5/7 : x = -5/9
=> x = -5/9 : -5/7 = 7/9
18.(-7)+2.(-7)