1/5 * x = 2/3-4/6
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\(\dfrac{5\cdot4^{15}\cdot9^9-4\cdot3^{20}\cdot8^9}{5\cdot2^{29}\cdot9^{10}-7\cdot2^{29}\cdot27^6}\)
\(=\dfrac{5\cdot2^{30}\cdot3^{18}-2^2\cdot2^{27}\cdot3^{20}}{5\cdot2^{29}\cdot3^{20}-7\cdot2^{29}\cdot3^{18}}\)
\(=\dfrac{2^{29}\cdot3^{18}\left(5\cdot2-3^2\right)}{2^{29}\cdot3^{18}\left(5\cdot3^2-7\right)}\)
\(=\dfrac{10-9}{5\cdot9-7}=\dfrac{1}{38}\)
\(x\times\dfrac{3}{5}=\dfrac{2}{3}+\dfrac{1}{6}=\dfrac{5}{6}\)
\(x=\dfrac{5}{6}:\dfrac{3}{5}=\dfrac{25}{18}\)
a, \(\dfrac{4x}{7}=\dfrac{1}{5}+\dfrac{2}{3}=\dfrac{3+10}{15}=\dfrac{13}{15}\Rightarrow60x=91\Leftrightarrow x=\dfrac{91}{60}\)
b, \(\dfrac{5}{7}:x=\dfrac{1}{6}+\dfrac{4}{5}=\dfrac{5+24}{30}=\dfrac{29}{30}\Leftrightarrow x=\dfrac{5}{7}:\dfrac{29}{30}=\dfrac{150}{203}\)
\(a,\dfrac{3}{4}:\dfrac{6}{x}=\dfrac{5}{4}\\ \dfrac{6}{x}=\dfrac{3}{4}:\dfrac{5}{4}\\ \dfrac{6}{x}=\dfrac{3}{5}\\ x=6:\dfrac{3}{5}\\ x=10\\ b,\left(x+\dfrac{7}{4}\right)\times\dfrac{2}{3}=6\\ x+\dfrac{7}{4}=6:\dfrac{2}{3}\\x+\dfrac{7}{4}=9\\ x=9-\dfrac{7}{4}\\ x=\dfrac{29}{4}\)
\(\left(y-\dfrac{2}{3}\right):\dfrac{4}{5}=\dfrac{5}{6}\)
\(y-\dfrac{2}{3}=\dfrac{5}{6}\times\dfrac{4}{5}\)
\(y-\dfrac{2}{3}=\dfrac{2}{3}\)
\(y=\dfrac{2}{3}+\dfrac{2}{3}\)
\(y=\dfrac{4}{3}\)
a) 6/-x=x/-24
=> -x.x=6.-24
=>-x.x=-144
=>x=12 hay x=-12
b)9/x=-35/105
=>9/x=-1/3
=>x=9.3/-1=-27
=>x=-27
c)x-1/8=5/8
=>x=5/8+1/8
=>x=3/4
d)x-1/2-(3/2+x)=-2
=>-x+4/2=-2
=>-x/2=0
=>x=0
e)x+1/3=-12/5.10/6
x+1/3=-4
x=-4-1/3
x= -13/3
#YM
Ta có: \(\frac{2x-3}{4}-\frac{4x-5}{3}=\frac{5-x}{6}\)
=>\(\frac{3\left(2x-3\right)-4\left(4x-5\right)}{12}=\frac{2\left(5-x\right)}{12}\)
=>3(2x-3)-4(4x-5)=2(5-x)
=>6x-9-16x+20=10-2x
=>-7x+11=10-2x
=>-5x=-1
=>x=1/5(nhận)
\(\frac{1}{5}.x=\frac{2}{3}-\frac{4}{6}\)
\(\frac{1}{5}x=\frac{4}{6}-\frac{4}{6}=0\)
\(x=0\)(dpcm)
\(\frac{1}{5}\times x=\frac{2}{3}-\frac{4}{6}\)
\(\frac{1}{5}\times x=\frac{2}{3}-\frac{2}{3}\)
\(\frac{1}{5}\times x=0\)
\(x=0\)
Đáp số: \(x=0\)