10-2x/6 = 27/5-x
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M
4
1 tháng 10 2020
a, \(\frac{\left(5-2x\right)}{3}=\frac{\left(4x-1\right)}{-5}\)
\(\Leftrightarrow-5(5-2x)=3\left(4x-1\right)\)
\(\Leftrightarrow10x-25=12x-3\)
\(\Leftrightarrow10x-12x=25-3\)
\(\Leftrightarrow-2x=22\)
\(\Leftrightarrow x=-11\)
b, \(\frac{\left(12-3x\right)}{32}=\frac{6}{\left(4-x\right)}\)
\(\Leftrightarrow\frac{3\left(4-x\right)}{32}=\frac{6}{\left(4-x\right)}\)
\(\Leftrightarrow3(4-x)\left(4-x\right)=32.6\)
\(\Leftrightarrow(4-x)\left(4-x\right)=32.2\)
\(\Leftrightarrow(4-x)^2=64\)
\(\Leftrightarrow\orbr{\begin{cases}4-x=8\\4-x=-8\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=-4\\x=12\end{cases}}\)
c, \(\frac{\left(10-2x\right)}{6}=\frac{27}{\left(5-x\right)}\)
\(\Leftrightarrow\frac{2\left(5-x\right)}{6}=\frac{27}{\left(5-x\right)}\)
\(\Leftrightarrow2(5-x)\left(5-x\right)=27.6\)
\(\Leftrightarrow(5-x)\left(5-x\right)=27.3\)
\(\Leftrightarrow(5-x)^2=81\)
\(\Leftrightarrow\orbr{\begin{cases}5-x=9\\5-x=-9\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=-4\\x=14\end{cases}}\)
A
1 tháng 10 2020
a, \(\frac{5-2x}{3}=\frac{4x-1}{-5}\Leftrightarrow-25+10x=12x-3\Leftrightarrow-22-2x=0\Leftrightarrow x=-11\)
b, \(\frac{12-3x}{32}=\frac{6}{4-x}\Leftrightarrow\frac{12-3x}{32}=\frac{18}{12-3x}\)
\(\Leftrightarrow\left(12-3x\right)^2=576\Leftrightarrow12-3x=\pm2\)\(\Leftrightarrow\orbr{\begin{cases}x=\frac{10}{3}\\x=\frac{14}{3}\end{cases}}\)
c, \(\frac{10-2x}{6}=\frac{27}{5-x}\Leftrightarrow\frac{10-2x}{6}=\frac{54}{10-2x}\)
\(\Leftrightarrow\left(10-2x\right)^2=324\Leftrightarrow10-2x=\pm18\)\(\Leftrightarrow\orbr{\begin{cases}x=14\\x=-4\end{cases}}\)
TT
24 tháng 12 2017
a,\(\dfrac{2}{3}x-\dfrac{4}{9}=-\dfrac{5}{27}\)
\(\dfrac{2}{3}x=\dfrac{17}{27}\)
\(x=\dfrac{17}{18}\)
b,\(\dfrac{2}{3}x+\dfrac{4}{9}=\dfrac{5}{27}\)
\(\dfrac{2}{3}x=-\dfrac{7}{27}\)
\(x=-\dfrac{7}{18}\)
c,\(x:1,2=5,4:6\)
\(x:1,2=0,9\)
\(x=1,08\)
d,\(1,68:1,2=5,4:x\)
\(1,4=5,4:x\)
\(x=\dfrac{27}{7}\)
e,\(\left(1-2x\right)^2+1=10\)
\(\left(1-2x\right)^2=9\)
\(1-2x=3\)
\(2x=-2\)
\(x=-1\)
f,\(\left(1-2x\right)^2-6=10\)
\(\left(1-2x\right)^2=16\)
\(1-2x=4\)
\(2x=-3\)
\(x=-\dfrac{3}{2}\)
LK
1
6 tháng 9 2021
\(\frac{2x-10}{6}=\frac{-27}{5-x}\)
\(\frac{2\left(x-5\right)}{6}=\frac{27}{x-5}\)
\(2\left(x-5\right)^2=27\times6\)
\(2x^2-20x+50-162=0\)
\(2x^2-20x-112=0\)
\(x^2-10x-56=0\)
\(x^2-14x+4x-56=0\)
\(\left(x-14\right)\left(x+4\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-14=0\\x+4=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=14\\x=-4\end{cases}}\)
KL .....
XIN TIICK
VV
7 tháng 1 2022
\(1\)) \(5-\left(10-x\right)=7\)
\(10-x=5-7\)
\(10-x=-2\)
\(x=10-\left(-2\right)\)
\(x=12\)
\(2\)) \(-32-\left(x-5\right)=0\)
\(x-5=-32-0\)
\(x-5=-32\)
\(x=-32+5\)
\(x=-27\)
AV
1
XO
11 tháng 8 2019
\(\frac{10-2x}{6}=\frac{27}{5-x}\)
\(\Rightarrow\frac{2.\left(5-x\right)}{6}=\frac{27}{5-x}\)
\(\Rightarrow\frac{5-x}{3}=\frac{27}{5-x}\)
\(\Rightarrow\left(5-x\right).\left(5-x\right)=3.27\)
\(\Rightarrow\left(5-x\right)^2=81\)
\(\Rightarrow\left(5-x\right)^2=9^2\)
\(\Rightarrow5-x=\pm9\)
\(\Rightarrow\orbr{\begin{cases}5-x=9\\5-x=-9\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=-4\\x=14\end{cases}}\)
S
4
\(10-\frac{2x}{6}=\frac{27}{5}-x\)
\(-\frac{2x}{6}+x=\frac{27}{5}-10\)
\(-\frac{2x}{6}+\frac{6x}{6}=-\frac{23}{5}\)
\(\frac{2}{3}x=\frac{-23}{5}\)
\(x=\frac{-23}{5}:\frac{2}{3}\)
\(x=\frac{-69}{10}\)
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