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g: =>2|2x-2/3|=-5/4
=>|2x-2/3|=-5/8(vô lý)
h: \(\Leftrightarrow\left(-\dfrac{3}{5}x-\dfrac{1}{2}\right)\cdot\dfrac{3}{4}=\dfrac{1}{3}-1=-\dfrac{2}{3}\)
\(\Leftrightarrow-\dfrac{3}{5}x-\dfrac{1}{2}=-\dfrac{2}{3}:\dfrac{3}{4}=\dfrac{-2}{3}\cdot\dfrac{4}{3}=\dfrac{-8}{9}\)
=>3/5x+1/2=8/9
=>3/5x=8/9-1/2=16/18-9/18=7/18
hay x=35/54
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a: =>1/3:x=3/5-2/3=9/15-10/15=-1/15
=>x=-1/3:1/15=5
b: \(\Leftrightarrow x\cdot\dfrac{2}{3}-3=\dfrac{2}{5}\cdot\left(-10\right)=-4\)
=>x*2/3=-1
=>x=-3/2
c: =>2x+1=4 hoặc 2x+1=-4
=>x=3/2 hoặc x=-5/2
h: =>x-3=4
=>x=7
g: =>2x-1=3
=>2x=4
=>x=2
f: \(\Leftrightarrow x\cdot\left(\dfrac{3}{2}-\dfrac{7}{3}\right)=\dfrac{3}{2}-\dfrac{2}{3}\)
=>x*-5/6=5/6
=>x=-1
d: =>|2x-1|=3
=>2x-1=3 hoặc 2x-1=-3
=>x=-1 hoặc x=2
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a) \(\dfrac{x}{5}+\dfrac{1}{2}=\dfrac{6}{10}\\ \dfrac{x}{5}+\dfrac{1}{2}=\dfrac{3}{5}\\ \dfrac{x}{5}=\dfrac{3}{5}-\dfrac{1}{2}\\ \dfrac{x}{5}=\dfrac{6}{10}-\dfrac{5}{10}\\ \dfrac{x}{5}=\dfrac{1}{10}\\ \dfrac{2x}{10}=\dfrac{1}{10}\\ \Rightarrow2x=1\\ x=1:2\\ x=0,5=\dfrac{1}{2}\)
b) \(x+\dfrac{3}{15}=\dfrac{1}{3}\\ x=\dfrac{1}{3}-\dfrac{3}{15}\\ x=\dfrac{5}{15}-\dfrac{3}{15}\\ x=\dfrac{2}{15}\)
c) \(x-\dfrac{12}{4}=\dfrac{1}{2}\\ x-3=\dfrac{1}{2}\\ x=\dfrac{1}{2}+3\\ x=\dfrac{1}{2}+\dfrac{6}{2}\\ x=\dfrac{7}{2}\)
d) \(\dfrac{1}{2}x+\dfrac{1}{2}=\dfrac{5}{2}\\ \dfrac{1}{2}x=\dfrac{5}{2}-\dfrac{1}{2}\\ \dfrac{1}{2}x=2\\ x=2:\dfrac{1}{2}\\ x=4\)
a. \(\dfrac{2x+5}{10}=\dfrac{6}{10}\Leftrightarrow2x=1\Leftrightarrow x=\dfrac{1}{2}\)
b. \(\dfrac{15x+3}{15}=\dfrac{5}{15}\Leftrightarrow15x=2\Leftrightarrow x=\dfrac{2}{15}\)
c. \(\dfrac{4x-12}{4}=\dfrac{2}{4}\Leftrightarrow4x=14\Leftrightarrow x=\dfrac{7}{2}\)
d. \(\dfrac{1+x}{2x}=\dfrac{5x}{2x}\Leftrightarrow-4x=-1\Leftrightarrow x=\dfrac{1}{4}\)
e. \(\dfrac{-4\left(2x-5\right)}{6\left(2x-5\right)}-\dfrac{2}{6\left(2x-5\right)}=\dfrac{9\left(2x-5\right)}{6\left(2x-5\right)}\)
\(\Leftrightarrow-8x+20-2=18x-45\)
\(\Leftrightarrow-26x=-63\Leftrightarrow x=\dfrac{63}{26}\)
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i) => /x+3/ = 3
=> x+3= 3
x+3= -3
=> x= 3-3= 0
x= -3-3 = -6
tick nha
nhiều qua ak, đăng từng câu dễ nhìn hơn đó, làm vậy nhìn thấy là nản ko muốn làm ak
\(\frac{3}{4}\)\(-2.2x-\frac{2}{3}\)\(=2\)
\(\Leftrightarrow\frac{3}{4}\)\(-2.2x-\frac{2}{3}\)\(=2\)
\(\Leftrightarrow\frac{3}{4}\)\(-2.2x=\frac{8}{3}\)
\(\Leftrightarrow2.2x=\frac{-23}{12}\)
\(\Leftrightarrow2.2x=\frac{-23}{24}\)
\(\Rightarrow x=\frac{-23}{48}\)
@NOOB : Cái này có GTTĐ mà =V
\(\left|2x-\frac{2}{3}\right|=2x-\frac{2}{3}\)khi \(2x-\frac{2}{3}\ge0\)hay \(x\ge\frac{1}{3}\)
\(\left|2x-\frac{2}{3}\right|=-\left(2x-\frac{2}{3}\right)=-2x+\frac{2}{3}\) khi \(2x-\frac{2}{3}< 0\)hay \(x< \frac{1}{3}\)
Quy về giải hai biểu thức :
* \(\frac{3}{4}-2\left(2x-\frac{2}{3}\right)=2\)với đk \(x\ge\frac{1}{3}\)
<=> \(2\left(2x-\frac{2}{3}\right)=-\frac{5}{4}\)
<=> \(2x-\frac{2}{3}=-\frac{5}{8}\)
<=> \(2x=\frac{1}{24}\Leftrightarrow x=\frac{1}{48}\)( không tmđk vì 1/48 < 1/3 )
* \(\frac{3}{4}-2\cdot\left(-2x+\frac{2}{3}\right)=2\)với đk \(x< \frac{1}{3}\)
<=> \(2\left(-2x+\frac{2}{3}\right)=-\frac{5}{4}\)
<=> \(-2x+\frac{2}{3}=-\frac{5}{8}\)
<=> \(-2x=-\frac{31}{24}\)
<=> \(x=\frac{31}{48}\)( không tmđk do 31/48 > 1/3 )
=> Không có giá trị của x thỏa mãn đề bài