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a) \(\dfrac{x}{3}=\dfrac{-10}{6}\)
\(x\times6=-10\times3\)
\(x\times6=-30\)
\(x=-5\)
b) \(\dfrac{-8}{x}=\dfrac{-9}{15}\)
\(x\times-9=15\times-8\)
\(x\times-9=-120\)
\(x=\dfrac{40}{3}\)
c) \(\dfrac{2,7}{0,9}=\dfrac{-8}{x}\)
\(x\times2,7=-8\times0,9\)
\(x\times2,7=-7,2\)
\(x=-\dfrac{8}{3}\)
d) \(\dfrac{4}{9}=\dfrac{x}{12}\)
\(x\times9=12\times4\)
\(x\times9=48\)
\(x=\dfrac{48}{9}\)
\(x=\dfrac{16}{3}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài 1:
b: \(\dfrac{72-x}{7}=\dfrac{x-70}{9}\)
=>648-9x=7x-490
=>-16x=-1138
hay x=569/8
c: \(\Leftrightarrow x^2=\dfrac{36}{25}\)
hay \(x\in\left\{\dfrac{6}{5};-\dfrac{6}{5}\right\}\)
d: Đặt x/5=y/4=k
=>x=5k; y=4k
Ta có: xy=180
\(\Leftrightarrow20k^2=180\)
\(\Leftrightarrow k^2=9\)
Trường hợp 1: k=3
=>x=15; y=12
Trường hợp 2: k=-3
=>x=-15; y=-12
![](https://rs.olm.vn/images/avt/0.png?1311)
Câu a bạn Mạnhlàm đúng rồi vậy mik làm câu b nhé
<br class="Apple-interchange-newline"><div id="inner-editor"></div>72−x7=x−709
<=>(72−x).963=(x−70).763
=>648−9x−7x+49063=0
<=>.−16x+113863=0
<=>-16x+1138=0
<=>x=71,125
a) theo đề bài ta có: x.x=0,16.9
=> x2=1,44
=> x2=a) theo đề bài ta có: x.x=0,16.9
=> x2=1,44
=> x2=(1,2)2
vậy x = 1,2
![](https://rs.olm.vn/images/avt/0.png?1311)
a) \(\frac{3x-2}{1\frac{2}{5}}=\frac{2\frac{3}{7}}{2\frac{3}{5}}\Rightarrow3x-2=1.\frac{2}{5}.\frac{2\frac{3}{7}}{2\frac{3}{5}}=\frac{7}{5}.\frac{17}{7}.\frac{5}{13}\)
\(3x-2=\frac{17}{13}\Rightarrow3x=2+\frac{17}{13}=\frac{43}{13}\Rightarrow x=\frac{43}{39}.\)
b) \(\frac{x}{0,16}=\frac{9}{x}\Rightarrow x^2=9.0,16=1,44\Rightarrow x=\pm1,2\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) 9x-1/4=3/2
=>9x=3/2+1/4
=>9x=7/4
=>x=7/4:9
=>x=7/36
Vậy x=7/36
b)(4x+2):2,5=3,2:0,5
=>(4x+2):2,5=6,4
=>4x+2=6,4.2,5
=>4x+2=16
=>4x=16-2
=>4x=14
=>x=14:4
=>x=7/2
Vậy x=7/2
c) 5,4/x-2=6/7
=>5,4/x=6/7+2
=>5,4/x=20/7
=>x=5,4 :20/7
=>x=1,89
Vậy x= 1,89
d) 0,5:2=3:(2x+7)
=>3:(2x+7)=0,25
=>2x+7=3:0,25
=>2x+7=12
=>2x=12-7
=>2x=5
=>x=5/2
Vậy x=5/2
a) 9x-1/4=3/2
=>9x=3/2+1/4
=>9x=7/4
=>x=7/4:9
=>x=7/36
Vậy x=7/36
b)(4x+2):2,5=3,2:0,5
=>(4x+2):2,5=6,4
=>4x+2=6,4.2,5
=>4x+2=16
=>4x=16-2
=>4x=14
=>x=14:4
=>x=7/2
Vậy x=7/2
c) 5,4/x-2=6/7
=>5,4/x=6/7+2
=>5,4/x=20/7
=>x=5,4 :20/7
=>x=1,89
Vậy x= 1,89
d) 0,5:2=3:(2x+7)
=>3:(2x+7)=0,25
=>2x+7=3:0,25
=>2x+7=12
=>2x=12-7
=>2x=5
=>x=5/2
Vậy x=5/2
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{1}{2}+\frac{2}{3}x=\frac{1}{4}\)
\(\frac{2}{3}x=\frac{1}{4}-\frac{1}{2}\)
\(\frac{2}{3}x=-\frac{1}{4}\)
\(x=-\frac{1}{4}:\frac{2}{3}\)
\(x=-\frac{3}{8}\)
\(\frac{2}{3}x\)\(=\)\(\frac{1}{4}\)\(-\)\(\frac{1}{2}\)
\(\frac{2}{3}x\)\(=\)\(\frac{-1}{4}\)
\(x\)\(=\)\(\frac{-1}{4}\)\(:\)\(\frac{2}{3}\)
\(x\)\(=\)\(\frac{-3}{8}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{7}{x-1}=\frac{x+1}{9}\)
\(\Rightarrow\left(x-1\right)\left(x+1\right)=7.9\)
\(\Rightarrow x^2-1=63\)
\(\Rightarrow x^2=64\)
\(\Rightarrow\orbr{\begin{cases}x=8\\x=-8\end{cases}}\)
\(\frac{x-1}{x+2}=\frac{x-2}{x+3}\)
\(\Rightarrow\left(x-1\right)\left(x+3\right)=\left(x+2\right)\left(x-2\right)\)
\(\Rightarrow x^2+2x-3=x^2-4\)
\(\Rightarrow2x-3=4\)
\(\Rightarrow2x=7\)
\(\Rightarrow x=\frac{7}{2}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\dfrac{9}{27}=\dfrac{\dfrac{3}{2}}{\dfrac{9}{2}}\\ \dfrac{9}{\dfrac{3}{2}}=\dfrac{27}{\dfrac{9}{2}}\\ \dfrac{27}{9}=\dfrac{\dfrac{9}{2}}{\dfrac{3}{2}}\\ \dfrac{\dfrac{9}{2}}{27}=\dfrac{\dfrac{3}{2}}{9}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài 1:
a) \(\frac{x}{-15}=\frac{-60}{x}\Rightarrow x^2=\left(-60\right).\left(-15\right)=900\Rightarrow x=\orbr{\begin{cases}30\\-30\end{cases}}\)
Bài 2: Đặt \(\frac{x}{4}=\frac{y}{7}=k\Rightarrow x=4k;y=7k\)
\(\Rightarrow xy=4k.7k=28k^2=112\)
\(\Rightarrow k^2=4\Rightarrow k=\pm2\)
\(\Rightarrow\orbr{\begin{cases}x=4.2=8\\x=-4.2=-8\end{cases}}\)
Và \(\orbr{\begin{cases}y=7.2=14\\y=-7.2=-14\end{cases}}\)
Bài 3: \(1\frac{1}{3}:0,8=\frac{2}{3}:\left(0,1x\right)\)
\(\Rightarrow\frac{4}{3}:\frac{4}{5}=\frac{2}{3}:\frac{1}{10}x\Rightarrow\frac{5}{3}=\frac{2}{3}:\frac{1}{10}x\)
\(\Rightarrow\frac{1}{10}x=\frac{2}{5}\Rightarrow x=4\)
Mk trả lời nốt bài 4 hộ bn MMS_Hồ Khánh Châu nha:
Bài 4:
Gọi x là giá trị chung của 2 phân số trên.
Ta có: \(\frac{a}{b}=\frac{c}{d}=x\)
\(\Rightarrow a=x.b
\)
\(c=x.d\)
Ta lại có:
\(\frac{a+c}{b+d}=\frac{x.b+x.d}{b+d}=\frac{x.\left(b+d\right)}{b+d}=x\)
Và \(\frac{a}{b}=x\)
\(\Rightarrow\frac{a}{b}=\frac{a+c}{b+d}\)
Vậy \(\frac{a}{b}=\frac{a+c}{b+d}\)
Hk tốt nha
\(x:0,16=9:x\)
\(\Rightarrow x^2=0,16.9\)
\(\Rightarrow x^2=1,44\)
\(\Rightarrow x=\pm1,2\)
cảm ơn ạ=3