a)Ta có: \(\frac{-2}{5}+\frac{6}{5}.\left(y-\frac{2}{3}\right)=\frac{-4}{15}\)

\(\Rightarrow\frac{6}{5}.\left(y-\frac{2}{3}\right)=\frac{-4}{15}-\frac{-2}{15}\)

\(\Rightarrow\frac{6}{5}.\left(y-\frac{2}{3}=\right)\frac{-2}{5}\)

\(\Rightarrow y-\frac{2}{3}=\frac{-2}{5}:\frac{6}{5}=\frac{-1}{3}\)

\(\Rightarrow y=\frac{-1}{3}+\frac{2}{3}=\frac{1}{3}\)

Vậy x = \(\frac{1}{3}\)

b) Ta có: \(\frac{-2}{5}+\frac{2}{3}x+\frac{1}{6}x=\frac{-4}{15}\)

        \(\Rightarrow\frac{-2}{5}+x.\left(\frac{2}{3}+\frac{1}{6}\right)=\frac{-4}{15}\)

        \(\Rightarrow x.\frac{5}{6}=\frac{-4}{15}-\frac{-2}{15}\)

         \(x.\frac{5}{6}=\frac{-2}{15}\)

\(\Rightarrow x=\frac{-2}{15}:\frac{5}{6}=\frac{-4}{25}\)

Vậy x = \(\frac{-4}{25}\)

c) Ta có: \(\frac{3}{2}x+\frac{-2}{5}-\frac{2}{3}.x=\frac{-4}{15}\)

\(\Rightarrow\frac{3}{2}x-\frac{2}{3}x+\frac{-2}{5}=\frac{-4}{15}\)

\(\Rightarrow x.\left(\frac{3}{2}-\frac{2}{4}\right)=\frac{-4}{15}-\frac{-2}{15}\)

\(\Rightarrow x.\frac{5}{6}=\frac{-2}{15}\)

\(\Rightarrow x=\frac{-2}{15}:\frac{5}{6}=\frac{-4}{25}\)

Vậy x = \(\frac{-4}{25}\)

Ủng hộ tớ nha m.n

a)\(\frac{\frac{x-3}{5}+1}{4}=\frac{\frac{2x}{3}-\frac{1}{2}}{6}\)

\(\Rightarrow\frac{\frac{x-3+5}{5}}{4}=\frac{\frac{4x}{6}-\frac{3}{6}}{6}\)

\(\Rightarrow\frac{\frac{x+2}{5}}{4}=\frac{\frac{4x-3}{6}}{6}\)

\(\Rightarrow\frac{x+2}{5}:4=\frac{4x-3}{6}:6\)

\(\Rightarrow\frac{x+2}{5}.\frac{1}{4}=\frac{4x-3}{6}.\frac{1}{6}\)

\(\Rightarrow\frac{x+2}{20}=\frac{4x-3}{36}\)

\(\Rightarrow36.\left(x+2\right)=20.\left(4x-3\right)\)

\(\Rightarrow36x+72=80x-60\)

\(\Rightarrow72+60=80x-36x\)

\(\Rightarrow132=44x\)

\(\Rightarrow x=\frac{132}{44}=3\)

Vậy x=3

b)Bn làm tương tự phần a nha

Chúc bn học tốt

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Chúc bn học tốt

\(\Leftrightarrow\frac{3x-3+5}{20}=|\frac{4x-3}{36}|\)

\(\Leftrightarrow\frac{3x+2}{5}=|\frac{4x-3}{9}|\)

\(\Leftrightarrow\left(3x+2\right)9=5|4x-3|\)

ĐK: \(3x+2\ge0\Rightarrow x\ge\frac{-2}{3}\)

\(\Leftrightarrow\orbr{\begin{cases}5.\left(4x-3\right)=9.\left(3x+2\right)\\-5.\left(4x-3\right)=9.\left(3x+2\right)\end{cases}}\)

\(\Leftrightarrow\orbr{\begin{cases}20x-15=27x+18\\-20x+15=27x+18\end{cases}}\)

\(\Leftrightarrow\orbr{\begin{cases}7x=-33\\-47x=3\end{cases}\Leftrightarrow\orbr{\begin{cases}x=\frac{-33}{7}\left(L\right)\\x=\frac{-3}{47}\end{cases}}}\)

Vậy x= - 3/47

b) \(\Leftrightarrow\frac{10x+x+2}{18}=\frac{x+3+75}{60}-2\)

\(\Leftrightarrow\frac{11x+2}{18}=\frac{x-42}{60}\)

\(\Leftrightarrow10.\left(11x+2\right)=3.\left(x-42\right)\)

\(\Leftrightarrow110x+20=3x-126\)

\(\Leftrightarrow107x=-146\Leftrightarrow x=\frac{-146}{107}\)

\(\Leftrightarrow\frac{\frac{x-3+5}{5}}{4}=\frac{\frac{4x-3}{6}}{6}\Leftrightarrow\frac{x+2}{20}=\frac{4x-3}{36}\Leftrightarrow36x+72=80x-60\Leftrightarrow44x=132\Rightarrow x=2\)

\(\Leftrightarrow\frac{\frac{10x+x+2}{2}}{9}-\frac{\frac{x+3+75}{5}}{12}=x-2\)\(\Leftrightarrow\frac{11x+2}{18}-\frac{x+78}{60}=x-2\)\(\Leftrightarrow\left(\frac{11}{18}-\frac{1}{60}-1\right)x+\left(\frac{2}{18}-\frac{78}{60}+2\right)=0\).Giải típ nha, ko có Casio nên mk ko bấm

\(\Leftrightarrow5x+\frac{x+2}{18}-x-\frac{x+3+75}{60}+2=0\Leftrightarrow\left(5+\frac{1}{18}-1-\frac{1}{60}\right)x+\left(\frac{2}{18}-\frac{78}{60}+2\right)=0\).Giải típ nha

bằng 2

đáp án đúng = 2

ms làm hôm nay xong

ngủ chưa mih làm cho

\(-\frac{2}{5}+\frac{5}{3}.\left(\frac{3}{2}-\frac{4}{15}x\right)=\frac{-7}{7 }\)
\(\frac{5}{3}.\left(\frac{3}{2}-\frac{4}{15}x\right)=\frac{-7}{6}-\left(-\frac{2}{5}\right)=-\frac{23}{30}\)
\(\left(\frac{3}{2}-\frac{4}{15}x\right)=-\frac{23}{30}:\frac{5}{3}=-\frac{23}{50}\)

\(\frac{4}{15}x=\frac{3}{2}-\left(-\frac{23}{50}\right)=\frac{49}{25 }\)
\(x=\frac{49}{25}:\frac{4}{15}\)
\(x=\frac{147}{20}\)
Vậy \(x\in\frac{147}{20}\)

 

\(\frac{5x-1}{10}+\frac{2x+3}{6}=\frac{x-8}{15}-\frac{x}{30}\)

\(\Rightarrow\frac{3\left(5x-1\right)}{30}+\frac{5\left(2x+3\right)}{30}=\frac{2\left(x-8\right)}{30}-\frac{x}{30}\)

\(\Rightarrow15x-3+10x+15=2x-16-x\)

\(\Rightarrow24x=-28\)

\(\Rightarrow x=-\frac{7}{6}\)