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x+\(\frac{1}{3}\)=\(\frac{2}{5}\)- (\(\frac{-1}{3}\))
x + \(\frac{1}{3}\)= \(\frac{2}{5}\)+\(\frac{1}{3}\)
x +1/3 =11/15
x= 11/15 -1/3
x= 2/5
b, 5/7-x=1/4 -(-3/5)
5/7 - x = 1/4 +3/5
5/7 - x =17/20
x = 5/7 -17/ 20
x= -19/140
1,
\(\frac{25}{12}+\left(\frac{-4}{12}\right)=\frac{7}{4}\)
\(\frac{-10}{8}+\frac{15}{4}=\frac{5}{2}\)
\(\frac{3}{8}+\frac{-14}{6}=\frac{-47}{24}\)
\(\frac{350}{150}+\left(\frac{-200}{360}\right)=\frac{16}{9}\)
\([\frac{5}{8}+\left(\frac{-3}{4}\right)]+\frac{15}{6}=\frac{-1}{8}+\frac{15}{6}=\frac{19}{8}\)
\(\frac{7}{3}+[\left(\frac{-5}{6}\right)+\left(\frac{-2}{3}\right)]=\frac{7}{3}+\left(\frac{-3}{2}\right)=\frac{5}{6}\)
a) \(8^x:4^x=4\)
\(\Rightarrow\left(8:4\right)^x=4\)
\(\Rightarrow2^x=4\)
\(\Rightarrow2^x=2^2\)
\(\Rightarrow x=2\)
Vậy \(x=2.\)
b) \(\frac{-4,4}{9,9}=\frac{x}{1,89}\)
\(\Rightarrow x.9,9=\left(-4,4\right).1,89\)
\(\Rightarrow x.9,9=-8,316\)
\(\Rightarrow x=\left(-8,316\right):9,9\)
\(\Rightarrow x=-0,84\)
Vậy \(x=-0,84.\)
Chúc bạn học tốt!
a) \(\frac{x+2015}{5}+\frac{x+2015}{6}=\frac{x+2015}{7}+\frac{x+2015}{8}\)
\(\frac{x+2015}{5}+\frac{x+2015}{6}-\frac{x+2015}{7}-\frac{x+2015}{8}=0\)
\(\left(x+2015\right).\left(\frac{1}{5}+\frac{1}{6}-\frac{1}{7}-\frac{1}{8}\right)=0\)
vì \(\frac{1}{5}+\frac{1}{6}-\frac{1}{7}-\frac{1}{8}\ne0\)
\(\Rightarrow\)x + 2015 = 0
\(\Rightarrow\)x = -2015
b) Tương tự
a, \(\dfrac{x-2}{5}=\dfrac{5}{7}\)
\(\Rightarrow7\left(x-2\right)=25\Rightarrow7x-14=25\)
\(\Rightarrow7x=39\Rightarrow x=\dfrac{39}{7}\)
b, \(\dfrac{-x-2}{3}=\dfrac{-6}{7}\)
\(\Rightarrow7\left(-x-2\right)=-18\Rightarrow-7x-14=-18\)
\(\Rightarrow-7x=-4\Rightarrow x=\dfrac{4}{7}\)
c, \(\dfrac{4}{7-x}=\dfrac{1}{3}\)
\(\Rightarrow12=7-x\Rightarrow7-x=12\)
\(\Rightarrow x=7-12=-5\)
Chúc bạn học tốt!!!