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19 tháng 9 2017
\(\dfrac{5}{6}x-\dfrac{3}{4}=\dfrac{-1}{4}+\dfrac{2}{3}\)
\(\Leftrightarrow\dfrac{5}{6}x=\dfrac{7}{6}\)
\(\Rightarrow x=\dfrac{7}{5}\)
b) \(-1\dfrac{1}{2}-\dfrac{2}{3}x=\dfrac{5}{6}-\left(\dfrac{-2}{5}\right)\)
\(\Leftrightarrow\dfrac{2}{3}x=-\dfrac{41}{15}\)
\(\Rightarrow x=-\dfrac{41}{10}\)
c) \(\left(\dfrac{4}{5}:x+1,5\right):\dfrac{2}{3}=-1,5\)
\(\Leftrightarrow\dfrac{8+15x}{10x}.\dfrac{3}{2}=\dfrac{-3}{2}\)
\(\Leftrightarrow\dfrac{24+45x}{20x}=\dfrac{-3}{2}\)
\(\Leftrightarrow-60x=48+90x\)
\(\Rightarrow x=-0,32\)
d) \(\dfrac{4}{3}x-\dfrac{2}{3}=\dfrac{1}{4}-x\)
\(\Leftrightarrow\dfrac{4x-2}{3}=\dfrac{1-4x}{4}\)
\(\Rightarrow16x-8=3-12x\)
\(\Rightarrow x=\dfrac{11}{28}\)
17 tháng 10 2022
a: \(\Leftrightarrow\dfrac{3}{5}-\dfrac{8}{5}\left(\dfrac{2}{3}x-\dfrac{3}{2}\right)=\dfrac{-17}{5}\)
=>8/5(2/3x-3/2)=3/5+17/5=4
=>2/3x-3/2=4:8/5=4*5/8=5/2
=>2/3x=4
=>x=4:2/3=6
b: =>x^2-4x-5=x^2-7x
=>-4x-5=-7x
=>3x=5
=>x=5/3
KV
30 tháng 10 2023
a) x + 2/5 = -4/3
x = -4/3 - 2/5
x = -26/15
b) -5/6 + 1/3 x = (-1/2)²
-5/6 + 1/3 x = 1/4
1/3 x = 1/4 + 5/6
1/3 x = 13/12
x = 13/12 : 1/3
x = 13/4
c) 7/12 - (x + 7/6) . 6/5 = (-1/2)³
7/12 - (x + 7/6) . 6/5 = -1/8
(x + 7/6) . 6/5 = 7/12 + 1/8
(x + 7/6) . 6/5 = 17/24
x + 7/6 = 17/24 : 6/5
x + 7/6 = 85/144
x = 85/144 - 7/6
x = -83/144
NM
30 tháng 10 2023
\(a,x+\dfrac{2}{5}=-\dfrac{4}{3}\\ \Rightarrow x=-\dfrac{26}{15}\\ b,-\dfrac{5}{6}+\dfrac{1}{3}x=\left(-\dfrac{1}{2}\right)^2\\ \Rightarrow-\dfrac{5}{6}+\dfrac{1}{3}x=\dfrac{1}{4}\\ \Rightarrow\dfrac{1}{3}x=\dfrac{13}{12}\\ \Rightarrow x=\dfrac{13}{4}\\ c,\dfrac{7}{12}-\left(x+\dfrac{7}{6}\right).\dfrac{6}{5}=\left(-\dfrac{1}{2}\right)^3\\ \Rightarrow\dfrac{7}{12}-\left(x+\dfrac{7}{6}\right).\dfrac{6}{5}=-\dfrac{1}{8}\\ \Rightarrow\left(x+\dfrac{7}{6}\right).\dfrac{6}{5}=\dfrac{17}{24}\\ \Rightarrow x+\dfrac{7}{6}=\dfrac{85}{144}\\ \Rightarrow x=-\dfrac{83}{144}.\)
YN
21 tháng 6 2022
\(a)\left(\dfrac{1}{2}+1,5\right)x=\dfrac{1}{5}\)
\(\Rightarrow2x=\dfrac{1}{5}\)
\(\Rightarrow x=\dfrac{1}{10}\)
\(b)\left(-1\dfrac{3}{5}+x\right):\dfrac{12}{13}=2\dfrac{1}{6}\)
\(\Leftrightarrow-\dfrac{8}{5}+x=\dfrac{13}{6}.\dfrac{12}{13}\)
\(\Leftrightarrow-\dfrac{8}{5}+x=2\)
\(\Leftrightarrow x=\dfrac{18}{5}\)
\(c)\left(x:2\dfrac{1}{3}\right).\dfrac{1}{7}=-\dfrac{3}{8}\)
\(\Leftrightarrow x:\dfrac{7}{3}=-\dfrac{3}{8}:\dfrac{1}{7}\)
\(\Leftrightarrow x=-\dfrac{21}{8}.\dfrac{7}{3}\)
\(\Leftrightarrow x=-\dfrac{49}{8}\)
\(d)-\dfrac{4}{7}x+\dfrac{7}{5}=\dfrac{1}{8}:\left(-1\dfrac{2}{3}\right)\)
\(\Leftrightarrow-\dfrac{4}{7}x+\dfrac{7}{5}=-\dfrac{3}{40}\)
\(\Leftrightarrow-\dfrac{4}{7}x=-\dfrac{59}{40}\)
\(\Leftrightarrow x=\dfrac{413}{160}\)
KV
28 tháng 11 2023
3/4 - (x - 2/3) = 1 1/3
3/4 - x + 2/3 = 4/3
-x = 4/3 - 3/4 - 2/3
-x = -1/12
x = 1/12
28 tháng 11 2023
3/4 - (x - 2/3) = 1 1/3
3/4 - x + 2/3 = 4/3
-x = 4/3 - 3/4 - 2/3
-x = -1/12
x = 1/12
20 tháng 9 2021
\(\left[{}\begin{matrix}x-1,5=0\\2,5-x=0\end{matrix}\right.\left[{}\begin{matrix}x=1,5\\x=2,5\end{matrix}\right.\)
\(\left[{}\begin{matrix}x-\dfrac{4}{5}=\dfrac{3}{4}\\x-\dfrac{4}{5}=\dfrac{-3}{4}\end{matrix}\right.\left[{}\begin{matrix}x=\dfrac{31}{20}\\x=\dfrac{1}{20}\end{matrix}\right.\)
2 tháng 2
a: \(\dfrac{x}{6}=\dfrac{y}{-3}\)
mà x-y=27
nên Áp dụng tính chất của dãy tỉ số bằng nhau, ta được:
\(\dfrac{x}{6}=\dfrac{y}{-3}=\dfrac{x-y}{6-\left(-3\right)}=\dfrac{27}{9}=3\)
=>\(x=3\cdot6=18;y=-3\cdot3=-9\)
b: \(\dfrac{x}{8}=\dfrac{y}{1,5}\)
mà x-4y=-0,2
nên Áp dụng tính chất của dãy tỉ số bằng nhau, ta được:
\(\dfrac{x}{8}=\dfrac{y}{1,5}=\dfrac{x-4y}{8-4\cdot1,5}=\dfrac{-0.2}{2}=-0.1\)
=>\(x=-0,1\cdot8=-0,8;y=-0,1\cdot1,5=-0,15\)
c: \(\dfrac{x}{y}=\dfrac{11}{13}\)
=>\(\dfrac{x}{11}=\dfrac{y}{13}\)
mà 2x+3y=122
nên Áp dụng tính chất của dãy tỉ số bằng nhau, ta được:
\(\dfrac{x}{11}=\dfrac{y}{13}=\dfrac{2x+3y}{2\cdot11+3\cdot13}=\dfrac{122}{61}=2\)
=>\(x=2\cdot11=22;y=2\cdot13=26\)
d: \(\dfrac{x}{y}=\dfrac{5}{-3}\)
=>\(\dfrac{x}{5}=\dfrac{y}{-3}\)
mà 3x-2y=42
nên Áp dụng tính chất của dãy tỉ số bằng nhau, ta được:
\(\dfrac{x}{5}=\dfrac{y}{-3}=\dfrac{3x-2y}{3\cdot5-2\cdot\left(-3\right)}=\dfrac{42}{21}=2\)
=>\(x=2\cdot5=10;y=2\cdot\left(-3\right)=-6\)
e: 3x=5y
=>\(\dfrac{x}{5}=\dfrac{y}{3}\)
mà x-y=10,2(vì y-x=-10,2)
nên Áp dụng tính chất của dãy tỉ số bằng nhau, ta được:
\(\dfrac{x}{5}=\dfrac{y}{3}=\dfrac{x-y}{5-3}=\dfrac{10.2}{2}=5.1\)
=>\(x=5,1\cdot5=25,5;y=5,1\cdot3=15,3\)
29 tháng 10 2017
a) \(\dfrac{1,2}{x+3}=\dfrac{5}{4}\)
\(\Rightarrow\left(x+3\right).5=1,2.4\)
\(\Rightarrow\left(x+3\right).5=4,8\)
\(\Rightarrow x+3=4,8:5\)
\(\Rightarrow x+3=0,96\)
\(\Rightarrow x=-2,04\)
vậy \(x=-2,04\)
b)\(\dfrac{3}{5}:\dfrac{2x}{15}=\dfrac{1}{2}:\dfrac{4}{5}\)
\(\Rightarrow\dfrac{3}{5}:\dfrac{2x}{15}=\dfrac{5}{8}\)
\(\Rightarrow\dfrac{2x}{15}=\dfrac{3}{5}:\dfrac{5}{8}\)
\(\Rightarrow\dfrac{2x}{15}=\dfrac{24}{25}\)
\(\Rightarrow15.24=\left(2x\right).25\)
\(\Rightarrow360=\left(2x\right).25\)
\(\Rightarrow360:25=2x\)
\(\Rightarrow14,4=2x\)
\(\Rightarrow x=7,2\)
vậy \(x=7,2\)
29 tháng 10 2017
\(a,\dfrac{1,2}{x+3}=\dfrac{5}{4}\\ \left(x+3\right).5=1,2.4\\ 5x+8=4,8\\ 5x=4,8-8\\ 5x=-3,2\\ x=-3,2:5=-0,64\)
\(b,\dfrac{3}{5}:\dfrac{2x}{15}=\dfrac{1}{2}:\dfrac{4}{5}\\ \dfrac{2x}{15}=\dfrac{3}{5}\cdot\dfrac{4}{5}:\dfrac{1}{2}\\ \dfrac{2x}{15}=\dfrac{12}{25}.2\\ \dfrac{2x}{25}=\dfrac{24}{25}\\ 2x=\dfrac{24}{25}.5\\ 2x=\dfrac{24}{5}\\ x=\dfrac{24}{5}\cdot\dfrac{1}{2}=\dfrac{12}{5}\)
\(c,-\dfrac{4}{2,5}:3,5=1,5:x\\ x=3,5.1,5:\left(-\dfrac{4}{25}\right)\\ x=\dfrac{21}{4}\cdot\left(-\dfrac{25}{4}\right)=-\dfrac{525}{16}\)
\(d,0,12:3=2x:\dfrac{3}{5}\\ 2x=0,12\cdot\dfrac{3}{5}:3\\ 2x=\dfrac{9}{125}\cdot\dfrac{1}{3}\\ 2x=\dfrac{3}{125}\\ x=\dfrac{3}{125}\cdot\dfrac{1}{2}=\dfrac{3}{250}\)
15 tháng 1
a:
ĐKXĐ: x<>6
\(\dfrac{x-6}{-1,5}=\dfrac{-6}{x-6}\)
=>\(\left(x-6\right)^2=\left(-1,5\right)\cdot\left(-6\right)=9\)
=>\(\left[{}\begin{matrix}x-6=3\\x-6=-3\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=9\left(nhận\right)\\x=3\left(nhận\right)\end{matrix}\right.\)
b: \(\dfrac{1\dfrac{2}{3}}{x-4}=\dfrac{5\dfrac{1}{6}}{x+1}\)
=>\(\dfrac{\dfrac{5}{3}}{x-4}=\dfrac{\dfrac{31}{6}}{x+1}\)
=>\(\dfrac{5}{3}\left(x+1\right)=\dfrac{31}{6}\left(x-4\right)\)
=>\(10\left(x+1\right)=31\left(x-4\right)\)
=>31x-124=10x+10
=>21x=134
=>\(x=\dfrac{134}{21}\)(nhận)
S
15 tháng 5 2017
a, \(\dfrac{x}{12}-\dfrac{5}{6}=\dfrac{1}{12}\)
\(\Rightarrow\dfrac{x}{12}=\dfrac{1}{12}+\dfrac{5}{6}\)
\(\Rightarrow\dfrac{x}{12}=\dfrac{11}{12}\)
\(\Rightarrow x=11\)
b, \(\dfrac{2}{3}-1\dfrac{4}{15}x=\dfrac{-3}{5}\)
\(\Rightarrow\dfrac{2}{3}-\dfrac{19}{15}x=\dfrac{-3}{5}\)
\(\Rightarrow\dfrac{19}{15}x=\dfrac{2}{3}+\dfrac{3}{5}\)
\(\Rightarrow\dfrac{19}{15}x=\dfrac{19}{15}\)
\(\Rightarrow x=1\)
c, \(-2^3+0,5x=1,5\)
\(\Rightarrow-8+\dfrac{1}{2}x=\dfrac{3}{2}\)
\(\Rightarrow\dfrac{1}{2}x=\dfrac{3}{2}+8\)
\(\Rightarrow\dfrac{1}{2}x=\dfrac{19}{2}\)
\(\Rightarrow x=19\)
15 tháng 5 2017
1) \(\dfrac{x}{12}-\dfrac{5}{6}=\dfrac{1}{12}\) 2)\(\dfrac{2}{3}-1\dfrac{4}{15}x=\dfrac{-3}{5}\) \(\dfrac{x}{12}=\dfrac{1}{12}+\dfrac{5}{6}\) \(\dfrac{2}{3}-\dfrac{19}{15}x=\dfrac{-3}{5}\) \(\dfrac{x}{12}=\dfrac{11}{12}\) \(\dfrac{19}{15}x=\dfrac{2}{3}-\left(\dfrac{-3}{5}\right)\) => \(x=11\) \(\dfrac{19}{15}x=\dfrac{19}{15}\) => \(x=1\) 3) -23 + 0,5x = 1,5 -8 + 0,5x = 1,5 0,5x = 1,5 - (-8) 0,5x = 9,5 x = 9,5 : 0,5 x = 19
x + 1,5 = \(\dfrac{5}{3}\)
x = \(\dfrac{5}{3}\) - 1,5
x = \(\dfrac{5}{3}\) - \(\dfrac{3}{2}\)
x = \(\dfrac{10}{6}\) - \(\dfrac{9}{6}\)
x = \(\dfrac{1}{6}\)
\(x+1,5=\dfrac{5}{3}\)
\(x+\dfrac{3}{2}=\dfrac{5}{3}\)
\(x=\dfrac{5}{3}-\dfrac{3}{2}\)
\(x=\dfrac{1}{6}\)