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a)\(-\frac{3}{7}+x=\frac{1}{3}\)
\(x=\frac{1}{3}+\frac{3}{7}\)
\(x=\frac{16}{21}\)
b)\(\frac{3}{4}+\frac{1}{4}:x=\frac{2}{5}\)
\(\frac{1}{4}:x=\frac{2}{5}-\frac{3}{4}\)
\(\frac{1}{4}:x=-\frac{7}{20}\)
\(x=\frac{-7}{20}x\frac{1}{4}\)
\(x=-\frac{7}{80}\)
d)\(\left|x-3\right|=\frac{1}{2}\)
\(\Rightarrow\hept{\begin{cases}x-3=\frac{1}{2}\\x-3=\frac{-1}{2}\end{cases}}\Rightarrow\hept{\begin{cases}x=\frac{7}{2}\\x=\frac{5}{2}\end{cases}}\)
Mk bổ sung nha
c)\(1\frac{1}{3}:0,8=\frac{2}{3}:0,1x\)
\(\frac{5}{3}=\frac{2}{3}:0,1x\)
\(0,1x=\frac{2}{3}:\frac{5}{3}\)
\(0,1x=\frac{2}{5}\)
\(x=\frac{2}{5}:0,1\)
\(x=4\)
a) \(\frac{2}{3}x-\frac{2}{5}=\frac{1}{2}x-\frac{1}{3}\)
=> \(\frac{2}{3}x-\frac{2}{5}-\frac{1}{2}x+\frac{1}{3}=0\)
=> \(\left(\frac{2}{3}x-\frac{1}{2}x\right)+\left(-\frac{2}{5}+\frac{1}{3}\right)=0\)
=> \(\frac{1}{6}x-\frac{1}{15}=0\Rightarrow\frac{1}{6}x=\frac{1}{15}\Rightarrow x=\frac{1}{15}:\frac{1}{6}=\frac{1}{15}\cdot6=\frac{2}{5}\)
Vậy x = 2/5
b) \(\frac{1}{3}x+\frac{2}{5}\left(x+1\right)=0\)
=> \(\frac{1}{3}x+\frac{2}{5}x+\frac{2}{5}=0\)
=> \(\frac{11}{15}x+\frac{2}{5}=0\Rightarrow\frac{11}{15}x=-\frac{2}{5}\)
=> \(x=\left(-\frac{2}{5}\right):\frac{11}{15}=\left(-\frac{2}{5}\right)\cdot\frac{15}{11}=-\frac{6}{11}\)
Vậy x = -6/11
c) \(\frac{2}{3}-\frac{1}{3}\left(x-\frac{3}{2}\right)-\frac{1}{2}\left(2x+1\right)=5\)
=> \(\frac{2}{3}-\frac{1}{3}x+\frac{1}{2}-x-\frac{1}{2}=5\)
=> \(\left(\frac{2}{3}+\frac{1}{2}-\frac{1}{2}\right)+\left(-\frac{1}{3}x-x\right)=5\)
=> \(\frac{2}{3}-\frac{4}{3}x=5\)
=> \(\frac{4}{3}x=-\frac{13}{3}\Rightarrow x=\left(-\frac{13}{3}\right):\frac{4}{3}=\left(-\frac{13}{3}\right)\cdot\frac{3}{4}=-\frac{13}{4}\)
Vậy x = -13/4
d) \(\frac{11}{5}-\left(\frac{7}{9}-x\right)\cdot\frac{3}{8}=\frac{61}{90}+\frac{x}{3}\)
=> \(\frac{11}{5}-\frac{3}{8}\left(\frac{7}{9}-x\right)=\frac{61}{90}+\frac{30x}{90}\)
=> \(\frac{11}{5}-\frac{7}{24}+\frac{3}{8}x=\frac{61+30x}{90}\)
=> \(\frac{229}{120}+\frac{3}{8}x=\frac{61+30x}{90}\)
=> \(\frac{229}{120}+\frac{3x}{8}=\frac{61+30x}{90}\)
=> \(\frac{229}{120}+\frac{45x}{120}=\frac{61+30x}{90}\)
=> \(\frac{229+45x}{120}=\frac{61+30x}{90}\)
=> \(\frac{3\left(229+45x\right)}{360}=\frac{4\left(61+30x\right)}{360}\)
=> \(3\left(229+45x\right)=4\left(61+30x\right)\)
=> \(687+135x=244+120x\)
=> \(687+135x-244-120x=0\)
=> \(\left(687-244\right)+\left(135x-120x\right)=0\)
=> \(443+15x=0\)
=> \(15x=-443\Rightarrow x=-\frac{443}{15}\)
Vậy x = -443/15
\(a,\frac{1}{3}+\frac{1}{2}:x=\frac{1}{5}\)
\(\Leftrightarrow\frac{1}{2}:x=\frac{1}{5}-\frac{1}{3}\)
\(\Leftrightarrow\frac{1}{2}:x=\frac{3}{15}-\frac{5}{15}\)
\(\Leftrightarrow\frac{1}{2}:x=\frac{-2}{15}\)
\(\Leftrightarrow x=\frac{1}{2}:\frac{-15}{2}=\frac{-15}{4}\)
\(b,\frac{1}{3}x+\frac{2}{5}\left[x+1\right]=0\)
\(\Leftrightarrow\frac{1}{3}x+\frac{2}{5}x+\frac{2}{5}=0\)
\(\Leftrightarrow\frac{11}{15}x=-\frac{2}{5}\Leftrightarrow x=\frac{-2}{5}:\frac{11}{15}=\frac{-2}{5}\cdot\frac{15}{11}=\frac{-2}{1}\cdot\frac{3}{11}=\frac{-6}{11}\)
1, a) ta có /2x-1/=/x+3/ <=> \(\orbr{\begin{cases}2x-1=x+3\\2x-1=-x-3\end{cases}\Rightarrow\orbr{\begin{cases}x=4\\x=-\frac{2}{3}\end{cases}}}\)
b) ta có /x-1/+3x=1 => /x-1/=1-3x
với x>=1 khi đó x-1=1-3x
với x<1 khi đó 1-x = 1-3x (tựu giải nha bạn)
2. a) Ta có A=/a/+a
với a>=0 khi đó A=a+a=2a
Với a<0 khi đó A =-a+a=0 CÂU B TƯƠNG TỰ NHA 2 Đ/S là a^2 và -a^2
c) Ta có ..............
với x>=-3 khi đó C= 3x-1 - 2x -6= x-7
với x< -3 khi đó C = 3x-1 +2x + 6 = 5x+5
d)Ta có ...............
với a<0 khi đó D = -a-a=-2a
với a>=0 khi đó D =a-a =0
\(NHỚ.KET.LUAN.MOI.CAU.NHA\)
\(x:\left(\frac{-1}{3}\right)^2=\frac{-1}{3}\)
\(\Rightarrow x:\frac{1}{9}=\frac{-1}{3}\)
\(\Rightarrow x=\frac{-1}{3}.\frac{1}{9}\)
\(\Rightarrow x=\frac{-1}{27}=\frac{-1}{3}^3\)
Vậy chọn đáp án \(B\)