Tìm x. Biết:
a) x/17= 60/204
b) 6+x/33= 7/11
c) 12+ x / 43 - x= 2/3
d) 1< 6/x < 2
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\(a,\frac{x}{17}=\frac{60}{204}\Rightarrow x=\frac{60.17}{204}=5\)
\(b.6+\frac{x}{33}=\frac{7}{11}\)
\(\Leftrightarrow\frac{x}{33}=-\frac{59}{11}\)
\(\Rightarrow x=\frac{-59.33}{11}=-177\)
\(c,12+\frac{x}{43-x}=\frac{2}{3}\)
\(\Leftrightarrow\frac{x}{43-x}=-\frac{34}{3}\)
\(\Leftrightarrow3x=-1462+34x\)
\(\Leftrightarrow-31x=-1462\)
\(\Leftrightarrow x=\frac{1462}{31}\)
\(d,1< \frac{6}{x}< 2\)
\(\Leftrightarrow\frac{1}{6}< x< \frac{1}{3}\)
Mình vẫn chưa hiểu , bạn giải theo kiểu lớp 4 được không?
a)\(\frac{x}{17}=\frac{60}{204}=\frac{5}{17}\Rightarrow x=5\)
b)\(\frac{6+x}{33}=\frac{7}{11}\Rightarrow11\left(6+x\right)=7.33\Rightarrow11.6+11x=231\Rightarrow66+11x=231\)
\(\Rightarrow11x=231-66\Rightarrow11x=165\Rightarrow x=\frac{165}{11}=15\)
c)\(\frac{12+x}{43-x}=\frac{2}{3}\Rightarrow2\left(43-x\right)=3\left(12+x\right)\Rightarrow2.43-2x=3.12+3x\)
\(86-2x=36+3x\Rightarrow86-36=3x+2x\Rightarrow50=5x\Rightarrow x=\frac{50}{5}=10\)
\(a,0,5x-\frac{2}{3}x=\frac{7}{12}\Rightarrow\frac{1}{2}x-\frac{2}{3}x=\frac{7}{12}\)
\(\Rightarrow x\left(\frac{1}{2}-\frac{2}{3}\right)=\frac{7}{12}\Rightarrow x\cdot\left(\frac{3}{6}-\frac{4}{6}\right)=\frac{7}{12}\)
\(\Rightarrow x\cdot\left(-1\right)=\frac{7}{12}\Rightarrow x=\frac{7}{12}:\left(-1\right)=\frac{7}{-12}\)
\(c,\frac{\left(x-5\right)}{12}\cdot\frac{9}{29}=\frac{-6}{29}\Rightarrow\frac{\left(x-5\right)}{12}=\frac{-6}{29}:\frac{9}{26}\)
\(\frac{\Rightarrow\left(x-5\right)}{12}=\frac{-6}{9}=\frac{-2}{3}\Rightarrow x-5=-\frac{2}{3}\cdot12\)
\(\Rightarrow x-5=\frac{-24}{3}=-8\Rightarrow x=-8+5=-3\)
\(a,0,5x-\frac{2}{3}x=\frac{7}{12}\)
\(\Rightarrow\frac{1}{2}x-\frac{2}{3}x=\frac{7}{12}\)
\(\Rightarrow-\frac{1}{6}x=\frac{7}{12}\)
\(\Rightarrow x=-\frac{7}{2}\)
\(c,\frac{x-5}{12}\cdot\frac{9}{29}=-\frac{6}{29}\)
\(\Rightarrow\frac{x-5}{12}=-\frac{2}{3}\)
\(\Rightarrow x-5=12.\left(-\frac{2}{3}\right)\)
\(\Rightarrow x-5=-8\)
\(\Rightarrow x=-3\)
b;\(\frac{x}{17}=\frac{60}{204}\)
=> \(x=60.17:204=5\)
c; \(6+\frac{x}{33}=\frac{7}{11}\)
=> \(6=\frac{7}{11}-\frac{x}{33}\)
=> \(6=\frac{21}{33}-\frac{x}{33}\)
=> \(6=\frac{21-x}{33}\)
=> \(21-x=198\)
=> \(x=21-198\)
=> \(x=-117\)
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