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\(\frac{3}{7}\left(7x+\frac{2}{3}\right)-2\left(\frac{5}{14}-3x\right)=\frac{15}{5}\)
\(\Leftrightarrow3x+\frac{2}{7}-\frac{5}{7}+6x=3\)
\(\Leftrightarrow9x=\frac{24}{7}\)
\(\Leftrightarrow x=\frac{8}{21}\)
\(\frac{3}{7}.\left(7x+\frac{2}{3}\right)-2.\left(\frac{5}{14}-3x\right)=\frac{15}{5}\)
\(\Leftrightarrow3x+\frac{2}{7}.x-\frac{5}{7}+6x=3\)
\(\Leftrightarrow\frac{65}{7}.x-\frac{5}{7}=3\)
\(\Leftrightarrow\frac{65}{7}.x=3+\frac{5}{7}\)
\(\Leftrightarrow\frac{65}{7}.x=\frac{26}{7}\)
\(\Leftrightarrow x=\frac{26}{7}:\frac{65}{7}\)
\(\Leftrightarrow x=\frac{2}{5}\)
a) Ta có :\(\frac{x}{2}=\frac{y}{5}\Rightarrow x=2k\) ; \(y=5k\)
\(x+y=-21\Rightarrow2k+5k=-21\)
\(\Leftrightarrow7k=-21\Rightarrow k=-3\)
Với \(k=-3\Rightarrow\hept{\begin{cases}\frac{x}{2}=-3\\\frac{y}{5}=-3\end{cases}\Rightarrow}\hept{\begin{cases}x--3.2=-6\\y=-3.5=-15\end{cases}}\)
Vậy ........
c) \(7x=3y\Rightarrow\frac{x}{3}=\frac{y}{7}\left(1\right)\)
\(12y=7z\Rightarrow\frac{y}{7}=\frac{z}{12}\left(2\right)\)
Từ (1) và (2) \(\Rightarrow\frac{x}{3}=\frac{y}{7}=\frac{z}{12}=\frac{3x}{9}=\frac{2y}{14}=\frac{z}{12}=\frac{3x+2y+z}{9+14+12}=\frac{14}{35}=\frac{2}{5}\)
\(\Leftrightarrow\hept{\begin{cases}\frac{x}{3}=\frac{2}{5}\\\frac{y}{7}=\frac{2}{5}\\\frac{z}{12}=\frac{2}{5}\end{cases}\Rightarrow}\hept{\begin{cases}x=\frac{6}{5}\\y=\frac{14}{5}\\z=\frac{24}{5}\end{cases}}\)
a.
-2 (x+6)+6 (x-10)=8
-2x -12 +6x -60 =8
4x -72 =8
4x = -64
x= -16
b.
7x (2+x) -7x (x+3) =14
7x [ (2+x)-(x+3) ] =14
7x (2+x-x-3) =14
-7x =14
x= -2
a: =>10|x-2|=50
=>|x-2|=5
=>x-2=5 hoặc x-2=-5
=>x=7 hoặc x=-3
b: =>|3x-12|+|5x-20|=56
=>8|x-4|=56
=>|x-4|=7
=>x-4=7 hoặc x-4=-7
=>x=11 hoặc x=-3
a ) \(\frac{3}{7}-\left(\frac{2}{5}+x+\frac{3}{2}\right)=\frac{5}{14}-\left|\frac{4}{35}-\frac{\left(-11\right)}{70}\right|\)
=> \(\frac{3}{7}-\left(\frac{2}{5}+x+\frac{3}{2}\right)=\frac{5}{14}-\left|\frac{4}{35}+\frac{11}{70}\right|\)
=> \(\frac{3}{7}-\left(\frac{2}{5}+x+\frac{3}{2}\right)=\frac{5}{14}-\left|\frac{19}{70}\right|\)
=> \(\frac{3}{7}-\left(\frac{2}{5}+x+\frac{3}{2}\right)=\frac{5}{14}-\frac{19}{70}=\frac{3}{35}\)
=> \(\frac{2}{5}+x+\frac{3}{2}=\frac{3}{7}-\frac{3}{35}=\frac{12}{35}\)
=> \(\frac{2}{5}+x=\frac{12}{35}-\frac{3}{2}=-\frac{81}{70}\)
=> \(x=-\frac{81}{70}-\frac{2}{5}=-\frac{109}{70}\)
b) \(\frac{3}{4}\left(x-8\right)=\frac{5}{7}\left(4-\frac{1}{2}\right)\)
=> \(\frac{3}{4}x-6=\frac{5}{2}\)
=> \(\frac{3}{4}x=\frac{17}{2}\)
=> \(x=\frac{17}{2}:\frac{3}{4}=\frac{34}{3}\)
Câu c,d tự làm nhé
a. \(\frac{3}{7}-\left(\frac{2}{5}+x+\frac{3}{2}\right)=\frac{5}{14}-\left|\frac{4}{35}-\frac{-11}{70}\right|\)
\(\Rightarrow\frac{3}{7}-\left(\frac{19}{10}+x\right)=\frac{5}{14}-\left|\frac{4}{35}+\frac{11}{70}\right|\)
\(\Rightarrow\frac{3}{7}-\frac{19}{10}-x=\frac{5}{14}-\left|\frac{19}{70}\right|=\frac{5}{14}-\frac{19}{70}\)
\(\Rightarrow-\frac{103}{70}-x=\frac{3}{35}\)
\(\Rightarrow x=-\frac{103}{70}-\frac{3}{35}\)
\(\Rightarrow x=-\frac{109}{70}\)
b. \(\frac{3}{4}\left(x-8\right)=\frac{5}{7}\left(4-\frac{1}{2}\right)\)
\(\Rightarrow\frac{3}{4}\left(x-8\right)=\frac{5}{7}.\frac{7}{2}=\frac{5}{2}\)
\(\Rightarrow x-8=\frac{10}{3}\)
\(\Rightarrow x=\frac{34}{3}\)
c. \(\frac{3}{2}-4\left(\frac{1}{4}-x\right)=\frac{2}{3}-7x\)
\(\Rightarrow\frac{3}{2}-1+4x=\frac{2}{3}-7x\)
\(\Rightarrow\frac{1}{2}=\frac{2}{3}-7x-4x=\frac{2}{3}-11x\)
\(\Rightarrow11x=\frac{2}{3}-\frac{1}{2}=\frac{1}{6}\)
\(\Rightarrow x=\frac{1}{66}\)
d. \(4\left(\frac{1}{2}-x\right)-5\left(x-\frac{3}{10}\right)=\frac{7}{4}\)
\(\Rightarrow2-4x-5x+\frac{3}{2}=\frac{7}{4}\)
\(\Rightarrow2-9x=\frac{1}{4}\)
\(\Rightarrow9x=\frac{7}{4}\)
\(\Rightarrow x=\frac{7}{36}\)
a, xy+14+2y+7x=-5
<=>x(y+7)+2(y+7)=-5
<=>(x+2)(y+7)=-5
=>x+2 và y+7 thuộc Ư(5)
Ta có bảng:
x+2 | 1 | -1 | 5 | -5 |
y+7 | -5 | 5 | -1 | 1 |
x | -1 | -3 | 3 | -7 |
y | -12 | -2 | -8 | -6 |
Vậy...
b, xy+x+y=2
<=>x(y+1)+(y+1)=3
<=>(x+1)(y+1)=3
=>x+1 và y+1 thuộc Ư(3)
Ta có bảng:
x+1 | 1 | -1 | 3 | -3 |
y+1 | 3 | -3 | 1 | -1 |
x | 0 | -2 | 2 | -4 |
y | 2 | -4 | 0 | -2 |
Vậy...
c, xy-1=3x+5y+4
<=>xy-3x-5y=4+1
<=>x(y-3)-5y+15=5+15
<=>x(y-3)-5(y-3)=20
<=>(x-5)(y-3)=20
=>x-5 và y-3 thuộc Ư(20)
Ta có bảng:
x-5 | 1 | -1 | 2 | -2 | 4 | -4 | 5 | -5 | 10 | -10 | 20 | -20 |
y-3 | 20 | -20 | 10 | -10 | 5 | -5 | 4 | -4 | 2 | -2 | 1 | -1 |
x | 6 | 4 | 7 | 3 | 9 | 1 | 10 | 0 | 15 | -5 | 25 | -15 |
y | 23 | -17 | 13 | -7 | 8 | -2 | 7 | -1 | 5 | 1 | 4 | 2 |
Vậy...
a: \(\Leftrightarrow10\left|x-2\right|=50\)
=>|x-2|=5
\(\Leftrightarrow\left[{}\begin{matrix}x-2=5\\x-2=-5\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=7\\x=-3\end{matrix}\right.\)
b: \(\Leftrightarrow x-2+x+3-\left(3x-5\right)=4\)
\(\Leftrightarrow2x+1-3x+5=4\)
=>6-x=4
hay x=2(loại)
ĐKXĐ: \(x\ne0\)
\(\frac{7x}{10}=\frac{14}{x}\Rightarrow7x^2=140\Rightarrow x^2=20\Rightarrow\orbr{\begin{cases}x=2\sqrt{5}\\x=-2\sqrt{5}\end{cases}}\)
Vậy ............................... chúc bn hok tốt
\(\frac{7x}{5}+\frac{14}{x}\)
=>\(7x.x=5.14\)
=>\(7x^2=70\)
=>\(x^2=70:7=10\)
=>\(x=\sqrt{x}\)