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Bài làm
Áp dụng tính chất dãy tỉ số bằng nhau, ta có:
\(\frac{x}{3}=\frac{y}{2}=\frac{x-y}{3-2}=-\frac{3}{1}=-3\)
Do đó: \(\hept{\begin{cases}\frac{x}{3}=-3\Rightarrow x=-9\\\frac{y}{2}=-3\Rightarrow y=-6\end{cases}}\)
Vậy x = -9, y = -6
# Học tốt #
![](https://rs.olm.vn/images/avt/0.png?1311)
\(M=\frac{2.2^{12}.3^6+2^2.2^9.3^9}{2^5.2^7.3^7+2^7.2^3.3^{10}}\)
\(=\frac{2^{11}.3^6\left(2^2+3^3\right)}{2^{10}.3^7\left(2^2+3^3\right)}\)
\(=\frac{2}{3}\)
\(M=\frac{2.\left(2^3\right)^4.\left(3^3\right)^2+2^2.\left(2.3\right)^9}{2^5.\left(2.3\right)^7+2^7.2^3.\left(3^2\right)^5}\)
\(M=\frac{2.2^{12}.3^6+2^2.2^9.3^9}{2^5.2^7.3^7+2^7.2^3.3^{10}}\)
\(M=\frac{2^{13}.3^6+2^{11}.3^9}{2^{12}.3^7+2^{10}.3^{10}}\)
\(M=\frac{2^{11}.3^6\left(2^2.1+1.3^3\right)}{2^{10}.3^7\left(2^2.1+1.3^3\right)}\)
\(M=\frac{2.31}{3.31}\)
\(M=\frac{2}{3}\)
Study well
![](https://rs.olm.vn/images/avt/0.png?1311)
a) \(\left(-\frac{1}{5}\right)^2:x=\frac{1}{2,5}\)
=> \(\frac{1}{25}:x=\frac{2}{5}\)
=> \(x=\frac{1}{25}:\frac{2}{5}\)
=> \(x=\frac{1}{10}\)
Vậy \(x=\frac{1}{10}\).
Mình chỉ làm câu a) thôi nhé.
Chúc bạn học tốt!
![](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)
Câu 1 :
\(a,2\left(\frac{3}{4}-5x\right)=\frac{4}{5}-3x\)
\(\Rightarrow\frac{3}{2}-10x=\frac{4}{5}-3x\)
\(\Rightarrow7x=\frac{3}{2}-\frac{4}{5}\)
\(\Rightarrow7x=\frac{7}{10}\)\(\Leftrightarrow x=0,1\)
\(b,\frac{3}{2}-4\left(\frac{1}{4}-x\right)=\frac{2}{3}-7x\)
\(\Rightarrow\frac{3}{2}-1+4x=\frac{2}{3}-7x\)
\(\Rightarrow11x=\frac{2}{3}+1-\frac{3}{2}\)
\(\Rightarrow11x=\frac{4+6-9}{6}-\frac{1}{6}\)
\(\Rightarrow x=\frac{1}{66}\)
Câu 2 :
\(a,\frac{2}{x-1}< 0\)
Vì \(2>0\Rightarrow\)để \(\frac{2}{x-1}< 0\)thì \(x-1< 0\Leftrightarrow x< 1\)
\(b,\frac{-5}{x-1}< 0\)
Vì \(-5< 0\)\(\Rightarrow\)để \(\frac{-5}{x-1}< 0\)thì \(x-1>0\Rightarrow x>1\)
\(c,\frac{7}{x-6}>0\)
Vì \(7>0\Rightarrow\)để \(\frac{7}{x-6}>0\)thì \(x-6>0\Rightarrow x>6\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(a,x.\frac{-3}{7}=\frac{4}{21}\)
\(x=\frac{4}{21}:\frac{-3}{7}\)
\(x=\frac{-4}{9}\)
\(b,\frac{-4}{7}:x=\frac{2}{5}\)
\(x=\frac{-4}{7}:\frac{2}{5}\)
\(x=\frac{-10}{7}\)
\(c,x+\frac{1}{12}=\frac{-3}{8}\)
\(x=\frac{-3}{8}-\frac{1}{12}\)
\(x=\frac{-11}{24}\)
\(d,\frac{2}{15}-x=\frac{-3}{10}\)
\(x=\frac{2}{15}+\frac{3}{10}\)
\(x=\frac{13}{30}\)
\(e,-x+\frac{4}{5}=\frac{1}{2}\)
\(-x=\frac{-3}{10}\)
\(x=\frac{3}{10}\)
\(f,\frac{3}{4}.\left(x+1\right)-\frac{1}{2}=\frac{3}{7}\)
\(\frac{3}{4}.\left(x+1\right)=\frac{13}{14}\)
\(x+1=\frac{26}{21}\)
\(x=\frac{5}{21}\)
\(\frac{-3}{2}-2x+\frac{3}{4}=-2\)
\(\frac{-3}{2}-2x=\frac{-11}{4}\)
\(2x=\frac{-3}{2}+\frac{11}{4}\)
\(2x=\frac{-17}{4}\)
\(x=\frac{-17}{8}\)
\(h,-x+\frac{4}{5}=\frac{1}{2}\)
\(-x=\frac{-3}{10}\)
\(x=\frac{3}{10}\)
chúc bạn học tốt !!!
![](https://rs.olm.vn/images/avt/0.png?1311)
1/ a/\(-\frac{7}{18}=\left(-\frac{7}{2}\right)\left(\frac{1}{9}\right)\)
b/\(-\frac{7}{18}=\left(-\frac{7}{9}\right):2\)
2/
a/\(\frac{7}{15}\cdot\left(-\frac{3}{8}-\frac{3}{7}\right)=\frac{7}{15}\cdot\left(-\frac{45}{56}\right)=-\frac{3}{8}\)
b/\(\left(-\frac{3}{4}+\frac{2}{5}\right):\frac{3}{7}+\left(\frac{3}{5}+-\frac{4}{4}\right):\frac{3}{7}\)
\(=\left(-\frac{7}{20}\right):\frac{3}{7}+\left(-\frac{2}{5}\right):\frac{3}{7}\)
\(=\left(-\frac{49}{60}\right)+\left(-\frac{14}{15}\right)=-\frac{7}{4}\)
c/\(\frac{2}{3}\cdot\left(-\frac{5}{2}\right)+\frac{10}{15}\cdot\left(-\frac{3}{7}\right)-\frac{2}{3}\cdot\left(-\frac{5}{3}\right)\)
\(=\frac{2}{3}\cdot\left(-\frac{5}{2}-\frac{3}{7}+\frac{5}{3}\right)=-\frac{53}{63}\)
3/
\(2-\left(3-x\right)=-\frac{3}{2}\)
\(2-3+x=-\frac{3}{2}\)
\(x=-\frac{3}{2}+3-2=-\frac{1}{2}\)
4/
a/ Ta có 2 trường hợp:
TH1: \(x-3,5=7,5\)
\(x=7,5+3,5=11\)
TH2: \(x-3,5=-7,5\)
\(x=-7,5+3,5=-4\)
b/ Ta có 2 trường hợp:
TH1:\(x-0,4=3,6\)
\(x=4\)
TH2: \(x-0,4=-3,6\)
\(x=-3.2\)
c/ Ta có 2 trường hợp:
TH1:\(x+\frac{4}{5}=\frac{3}{2}\)
\(x=\frac{7}{10}\)
TH2:\(x+\frac{4}{5}=-\frac{3}{2}\)
\(x=-\frac{32}{10}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) \(\frac{2}{3}x-\frac{2}{5}=\frac{1}{2}x-\frac{1}{3}\)
=> \(\frac{2}{3}x-\frac{2}{5}-\frac{1}{2}x+\frac{1}{3}=0\)
=> \(\left(\frac{2}{3}x-\frac{1}{2}x\right)+\left(-\frac{2}{5}+\frac{1}{3}\right)=0\)
=> \(\frac{1}{6}x-\frac{1}{15}=0\Rightarrow\frac{1}{6}x=\frac{1}{15}\Rightarrow x=\frac{1}{15}:\frac{1}{6}=\frac{1}{15}\cdot6=\frac{2}{5}\)
Vậy x = 2/5
b) \(\frac{1}{3}x+\frac{2}{5}\left(x+1\right)=0\)
=> \(\frac{1}{3}x+\frac{2}{5}x+\frac{2}{5}=0\)
=> \(\frac{11}{15}x+\frac{2}{5}=0\Rightarrow\frac{11}{15}x=-\frac{2}{5}\)
=> \(x=\left(-\frac{2}{5}\right):\frac{11}{15}=\left(-\frac{2}{5}\right)\cdot\frac{15}{11}=-\frac{6}{11}\)
Vậy x = -6/11
c) \(\frac{2}{3}-\frac{1}{3}\left(x-\frac{3}{2}\right)-\frac{1}{2}\left(2x+1\right)=5\)
=> \(\frac{2}{3}-\frac{1}{3}x+\frac{1}{2}-x-\frac{1}{2}=5\)
=> \(\left(\frac{2}{3}+\frac{1}{2}-\frac{1}{2}\right)+\left(-\frac{1}{3}x-x\right)=5\)
=> \(\frac{2}{3}-\frac{4}{3}x=5\)
=> \(\frac{4}{3}x=-\frac{13}{3}\Rightarrow x=\left(-\frac{13}{3}\right):\frac{4}{3}=\left(-\frac{13}{3}\right)\cdot\frac{3}{4}=-\frac{13}{4}\)
Vậy x = -13/4
d) \(\frac{11}{5}-\left(\frac{7}{9}-x\right)\cdot\frac{3}{8}=\frac{61}{90}+\frac{x}{3}\)
=> \(\frac{11}{5}-\frac{3}{8}\left(\frac{7}{9}-x\right)=\frac{61}{90}+\frac{30x}{90}\)
=> \(\frac{11}{5}-\frac{7}{24}+\frac{3}{8}x=\frac{61+30x}{90}\)
=> \(\frac{229}{120}+\frac{3}{8}x=\frac{61+30x}{90}\)
=> \(\frac{229}{120}+\frac{3x}{8}=\frac{61+30x}{90}\)
=> \(\frac{229}{120}+\frac{45x}{120}=\frac{61+30x}{90}\)
=> \(\frac{229+45x}{120}=\frac{61+30x}{90}\)
=> \(\frac{3\left(229+45x\right)}{360}=\frac{4\left(61+30x\right)}{360}\)
=> \(3\left(229+45x\right)=4\left(61+30x\right)\)
=> \(687+135x=244+120x\)
=> \(687+135x-244-120x=0\)
=> \(\left(687-244\right)+\left(135x-120x\right)=0\)
=> \(443+15x=0\)
=> \(15x=-443\Rightarrow x=-\frac{443}{15}\)
Vậy x = -443/15
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