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Ta có: \(2,8:\left(\frac{1}{5}-3x\right)=\frac{7}{5}\)
\(\Leftrightarrow\frac{14}{5}:\left(\frac{1}{5}-3x\right)=\frac{7}{5}\)
\(\Leftrightarrow\frac{1}{5}-3x=2\)
\(\Leftrightarrow3x=\frac{1}{5}-2=\frac{9}{5}\)
hay \(x=\frac{3}{5}\)
Vậy: \(x=\frac{3}{5}\)
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\(\Rightarrow\) 1/5-3x = 2/8 : 7/5 = 5/28
\(\Rightarrow\) 3x = 1/5 - 5/28 = 3/140
\(\Rightarrow\) x = 3/140 : 3 = 1/140
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a) \(\left|2x\right|-\left|-2,5\right|=\left|-7,5\right|\)
\(\Leftrightarrow\left|2x\right|-2,5=7,5\)
\(\Leftrightarrow\left|2x\right|=10\)
\(\Leftrightarrow\begin{cases}x\ge0\\2x=10\end{cases}\) hoặc \(\begin{cases}x< 0\\2x=-10\end{cases}\)
\(\Leftrightarrow\begin{cases}x\ge0\\x=5\left(tm\right)\end{cases}\) hoặc \(\begin{cases}x< 0\\x=-5\left(tm\right)\end{cases}\)
Vậy x={5;-5}
b)\(\left|3x\right|\cdot\left|-3,5\right|=\left|-2,8\right|\)
\(\Leftrightarrow\left|3x\right|\cdot3,5=2,8\)
\(\Leftrightarrow\left|3x\right|=\frac{4}{5}\)
\(\Leftrightarrow\begin{cases}x\ge0\\3x=\frac{4}{5}\end{cases}\) hoặc \(\begin{cases}x< 0\\3x=-\frac{4}{5}\end{cases}\)
\(\Leftrightarrow\begin{cases}x\ge0\\x=\frac{4}{15}\end{cases}\) hoặc \(\begin{cases}x< 0\\x=-\frac{4}{15}\end{cases}\)
Vậy x={4/15;-4/15}
c) \(\left(3x-5\right)\left(\frac{3}{2}x+2\right)\left(0,5x-10\right)=0\)
\(\Leftrightarrow\left[\begin{array}{nghiempt}3x-5=0\\\frac{3}{2}x+2=0\\0,5x-10=0\end{array}\right.\)\(\Leftrightarrow\left[\begin{array}{nghiempt}x=\frac{5}{3}\\x=-\frac{4}{3}\\x=20\end{array}\right.\)
a)|2x|-|-2,5|=|-7,5|
|2x|-2,5=7,5
|2x|=10
\(\Rightarrow\left[\begin{array}{nghiempt}2x=10\\2x=-10\end{array}\right.\)\(\Rightarrow\left[\begin{array}{nghiempt}x=5\\x=-5\end{array}\right.\)
Vậy x=5;-5
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a) \(-\frac{5}{2}:\left(\frac{3}{4}-\frac{1}{2}\right)\)
= \(-\frac{5}{2}:\left(\frac{6}{8}-\frac{4}{8}\right)\)
= \(-\frac{5}{2}:\frac{2}{8}\)
=\(-\frac{5}{2}.\frac{8}{2}\)
=\(-\frac{40}{4}\)
=\(-10\)
b) \(2,8:\left(\frac{1}{5}-3x\right)=1\frac{2}{5}\)
=> \(\frac{14}{5}:\left(\frac{1}{5}-3x\right)=\frac{7}{5}\)
=> \(\left(\frac{1}{5}-3x\right)=\frac{14}{5}:\frac{7}{5}\)
=> \(\left(\frac{1}{5}-3x\right)=\frac{14}{5}.\frac{5}{7}\)
=> \(\frac{1}{5}-3x=2\)
=> \(3x=\frac{1}{5}-2\)
=> \(3x=-\frac{9}{5}\)
=> \(x=-\frac{9}{5}:3\)
=> \(x=-\frac{3}{5}\)
a) \(\frac{-5}{2}:\left(\frac{3}{4}-\frac{1}{2}\right)\\ =\frac{-5}{2}:\left(\frac{3}{4}-\frac{2}{4}\right)\\ =\frac{-5}{2}:\frac{1}{4}\\ =\frac{-5}{2}\cdot4=-10\)
b) \(2,8:\left(\frac{1}{5}-3x\right)=1\frac{2}{5}\\ \Rightarrow\frac{14}{5}:\left(\frac{1}{5}-3x\right)=\frac{7}{5}\\ \Rightarrow\frac{1}{5}-3x=\frac{14}{5}:\frac{7}{5}\\ \Rightarrow\frac{1}{5}-3x=\frac{14}{5}\cdot\frac{5}{7}\\ \Rightarrow\frac{1}{5}-3x=2\\ \Rightarrow3x=\frac{1}{5}-2\\ \Rightarrow3x=\frac{-9}{5}\\ \Rightarrow x=\frac{-9}{5}:3\\ \Rightarrow x=\frac{-9}{5\cdot3}=\frac{-3}{5}\)
Vậy \(x=\frac{-3}{5}\)
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* \(\dfrac{15}{12}:x=\left(\dfrac{5}{6}-\dfrac{1}{2}\right).\dfrac{5}{4}\)
\(\dfrac{15}{12}:x=\dfrac{1}{3}.\dfrac{5}{4}\)
\(\dfrac{15}{12}:x=\dfrac{5}{12}\)
\(x=\dfrac{15}{12}:\dfrac{5}{12}\)
\(x=3\)
* \(y:0,15=\left(2,8+0,38\right):0,75\)
\(y:0,15=3,18:0,75\)
\(y:15=4,24\)
\(y=4,24.15\)
\(y=63,6\)
\(2,8:\left(\frac{1}{5}-3x\right)=1\frac{2}{5}\)
\(\frac{14}{5}:\left(\frac{1}{5}-3x\right)=\frac{7}{5}\)
\(\frac{1}{5}-3x=2\)
\(3x=\frac{-9}{10}\)
\(x=\frac{-3}{10}\)
Vậy \(x=\frac{-3}{10}\)
\(2,8:\left(\frac{1}{5}-3x\right)=1\frac{2}{5}\)
\(\frac{1}{5}-3x=\frac{28}{10}:\frac{7}{5}\)
\(\frac{1}{5}-3x=2\)
\(3x=\frac{1}{5}-2\)
\(3x=\frac{-9}{5}\)
\(x=\frac{-9}{5}:3\)
\(x=\frac{-3}{5}\)