\(-\frac{21}{13x}+\frac{1}{3}=-\frac{2}{3}\)
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27 tháng 4 2020
a, \(\frac{8x-3}{4}-\frac{3x-2}{2}=\frac{2x-1}{2}+\frac{x+3}{4}\)
\(\frac{8x-3}{4}-\frac{6x-4}{4}=\frac{4x-2}{4}+\frac{x+3}{4}\)
\(8x-3-6x-4=4x-2+x+2\)
\(2x-7=5x\Leftrightarrow2x-5x+7=0\Leftrightarrow-3x=-7\Leftrightarrow x=\frac{7}{3}\)
27 tháng 4 2020
b, \(\frac{x+3}{2}-\frac{x-1}{3}=\frac{x+5}{6}+1\)
\(\frac{3x+9}{6}-\frac{2x-2}{6}=\frac{x+5}{6}+\frac{6}{6}\)
\(3x+9-2x-2=x+5+6\)
\(x+7=x+11\Leftrightarrow-4\ne0\)
PA
30 tháng 1 2017
\(P=\frac{\left(\frac{2x-3}{4x^2-12x+5}+\frac{2x-8}{13x-2x^2-20}-\frac{3}{2x-1}\right)}{\left(\frac{21+2x-8x^2}{4x^2+4x-3}\right)}+1\)
\(=\frac{\left(\frac{2x-3}{4x^2-2x-10x+5}+\frac{-2\left(4-x\right)}{8x-2x^2+5x-20}-\frac{3}{2x-1}\right)}{\left(\frac{21-12x+14x-8x^2}{4x^2+6x-2x-3}\right)}+1\)
\(=\frac{\left(\frac{2x-3}{2x\left(2x-1\right)-5\left(2x-1\right)}+\frac{-2\left(4-x\right)}{2x\left(4-x\right)-5\left(4-x\right)}-\frac{3}{2x-1}\right)}{\left(\frac{3\left(7-4x\right)+2x\left(7-4x\right)}{2x\left(2x+3\right)-\left(2x+3\right)}\right)}+1\)
\(=\frac{\left(\frac{2x-3}{\left(2x-1\right)\left(2x-5\right)}+\frac{-2\left(4-x\right)}{\left(2x-5\right)\left(4-x\right)}-\frac{3}{2x-1}\right)}{\frac{\left(7-4x\right)\left(3+2x\right)}{\left(2x+3\right)\left(2x-1\right)}}+1\)
\(=\frac{\left(\frac{2x-3}{\left(2x-1\right)\left(2x-5\right)}+\frac{-2\left(2x-1\right)}{\left(2x-1\right)\left(2x-5\right)}-\frac{3\left(2x-5\right)}{\left(2x-1\right)\left(2x-5\right)}\right)}{\frac{7-4x}{2x-1}}+1\)
\(=\frac{2x-3-4x+2-6x+15}{\left(2x-1\right)\left(2x-5\right)}\times\frac{2x-1}{7-4x}+1\)
\(=\frac{14-8x}{2x-5}\times\frac{1}{7-4x}+1\)
\(=\frac{2\left(7-4x\right)}{2x-5}\times\frac{1}{7-4x}+\frac{2x-5}{2x-5}\)
\(=\frac{2+2x-5}{2x-5}\)
\(=\frac{2x-3}{2x-5}\)
27 tháng 6 2019
TL:
a)
\(\frac{14\left(x-3\right)}{21}+\frac{7\left(x-5\right)}{21}=\frac{13x+4}{21}\)
\(\frac{14x-42+7x-35}{21}=\frac{13x+4}{21}\)
21x-77=13x+4
21x-13x=77+4
8x=81
x=\(\frac{81}{8}\)
2 câu còn lại bn lm cách tương tự
hc tốt
\(-\frac{21}{13x}+\frac{1}{3}=-\frac{2}{3}\)
\(\frac{-21}{13x}=\frac{-2}{3}-\frac{1}{3}\)
\(\frac{-21}{13x}=\frac{-3}{3}\)
\(\frac{-21}{13x}=\frac{-21}{21}\)
=> 13x = 21
x = 21 : 13
x = 21/13
\(\Rightarrow\)\(\frac{-21}{13x}=\)\(\frac{-2}{3}-\frac{1}{3}=-1\)\(\Rightarrow\frac{21}{13x}=1\)\(\Rightarrow13x=21\Rightarrow x=\frac{21}{13}\)
Vậy x=\(\frac{21}{13}\)