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\(\frac{2}{5}\)= \(\frac{x}{10}\)
2 x 10 = \(x\)x 5
20 = \(x\)x 5
x = 20 : 5
x = 4
Vậy x = 4
Tk mk nha !!
Áp dụng \(\frac{a}{b}=\frac{c}{d}\)\(\Leftrightarrow\)\(ad=bc\) \(\left(a,b,c,d\inℤ;b,d\ne0\right)\) là okkk :)
Ta có :
\(\frac{2}{5}=\frac{x}{10}\)
\(\Leftrightarrow\)\(2.10=5x\)
\(\Leftrightarrow\)\(20=5x\)
\(\Leftrightarrow\)\(x=\frac{20}{5}\)
\(\Leftrightarrow\)\(x=4\)
Vậy \(x=4\)
Chúc bạn học tốt ~
2x/5 - 1 = 1/7 : -1/5
2x/5 - 1 = -5/7
2x / 5 = -5/7 + 1
2x / 5 =2/7
=> 7( 2x ) = 2.5
=> 14x = 10
=> x = 10 : 14
=> x = 5/7
\(\frac{-1}{5}\times\left(\frac{2x}{5}-1\right)=\frac{1}{7}\)
\(\frac{2x}{5}-1=\frac{1}{7}\div\left(-\frac{1}{5}\right)\)
\(\frac{2x}{5}-1=\frac{1}{7}\times\left(-5\right)\)
\(\frac{2x}{5}-1=-\frac{5}{7}\)
\(\frac{2x}{5}=-\frac{5}{7}+1\)
\(\frac{2x}{5}=\frac{-5+7}{7}\)
\(\frac{2x}{5}=\frac{2}{7}\)
\(x=\frac{2}{7}\div\frac{2}{5}\)
\(x=\frac{2}{7}\times\frac{5}{2}\)
\(x=\frac{5}{7}\)
\(\Leftrightarrow2\left(\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{x\left(x+1\right)}\right)=\frac{2008}{2010}\)
\(\Leftrightarrow2\left(\frac{3-2}{2.3}+\frac{4-3}{3.4}+\frac{5-4}{4.5}+...+\frac{\left(x+1\right)-x}{x\left(x+1\right)}\right)=\frac{2008}{2010}\)
\(\Leftrightarrow2\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{x}-\frac{1}{x+1}\right)=\frac{2008}{2010}\)
\(\Leftrightarrow\frac{1}{2}-\frac{1}{x+1}=\frac{1004}{2010}\)
\(\Leftrightarrow\frac{1}{x+1}=\frac{1}{2010}\)
\(\Leftrightarrow x+1=2010\)
\(\Leftrightarrow x=2009\)
a)<=>3(x+3)=1(-15)
=>3x+9=-15
=>3x=-15-9
=>3x=-24
=>x=-8
b)<=>4,5-2x=\(\frac{11}{14}\div\frac{-11}{7}\)
\(\Rightarrow4\frac{1}{2}-2x=-\frac{1}{2}\)
\(\Leftrightarrow2x=\frac{9}{2}-\frac{-1}{2}\)
\(\Rightarrow2x=5\)
\(\Rightarrow x=\frac{5}{2}\)
\(\frac{2x+1}{3}=\frac{x-5}{2}\)
\(\Rightarrow2\left(2x+1\right)=3\left(x-5\right)\)
\(\Rightarrow4x+2=3x-15\)
\(\Rightarrow4x-3x=-15-2\)
\(\Rightarrow x=-17\)
Ta có:
\(\frac{2x+1}{3}=\frac{x-5}{2}\)
\(\Rightarrow\left(2x+1\right)2=\left(x-5\right)3\)
\(\Rightarrow4x+2=3x-15\)
\(\Rightarrow4x-3x=-15-2\)
\(\Rightarrow x=-17\)
Vậy x = -17