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Vì \(\frac{-x}{21}=\frac{20}{7}\)suy ra -x . 7.=21. 20
x=\(\frac{21.20}{7}\)
x=60
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\(\frac{5}{6}=\frac{15}{24}\)
\(\frac{4}{7}=\frac{12}{21}\)
\(\frac{3}{9}=\frac{7}{21}\)
\(\frac{-5}{-4}=\frac{20}{16}\)
5/6 = x/24 = 5*24 = 6*x = 120 = 6*x suy ra x= 120:6=20
4/7 = 12/x = 4*x = 7*12 = 4*x = 84 suy ra x= 84:4=21
3/x = 7/21 = 3/x = 1/3 = 3*3 = 1*x = 9 = 1*x suy ra x=9:1=9
x/-4 = 20/16 = x/-4 = 5/4 = x*4 = -4*5 = x*4 = -20 suy ra x=-20:4=-5
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Hoàng Thị Thanh Trúc
a,
\(\frac{x}{7}=\frac{6}{21}\Rightarrow x=\frac{6.7}{21}=2\)
b,
\(\frac{-5}{y}=\frac{20}{28}\Rightarrow y=\frac{\left(-5\right).28}{20}=-7\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có: \(x-\frac{20}{11\cdot13}-\frac{20}{13\cdot15}-...-\frac{20}{53\cdot55}=\frac{3}{11}\)
\(\Leftrightarrow x-10\cdot\left(\frac{2}{11\cdot13}+\frac{2}{13\cdot15}+...+\frac{2}{53\cdot55}\right)=\frac{3}{11}\)
\(\Leftrightarrow x-10\cdot\left(\frac{1}{11}-\frac{1}{13}+\frac{1}{13}-\frac{1}{15}+...+\frac{1}{53}-\frac{1}{55}\right)=\frac{3}{11}\)
\(\Leftrightarrow x-10\cdot\left(\frac{1}{11}-\frac{1}{55}\right)=\frac{3}{11}\)
\(\Leftrightarrow x-10\cdot\frac{4}{55}=\frac{3}{11}\)
\(\Leftrightarrow x-\frac{8}{11}=\frac{3}{11}\)
\(\Leftrightarrow x=\frac{3}{11}+\frac{8}{11}\)
\(\Leftrightarrow x=1\)
Vậy \(x=1\)thỏa mãn đề.
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{x}{7}=\frac{6}{21}\)
\(\Rightarrow x=\frac{7.6}{21}\)
\(\Rightarrow x=2\)
\(-\frac{5}{y}=\frac{20}{28}\)
\(\Rightarrow y=\frac{-5.28}{20}\)
\(\Rightarrow y=-7\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(a,\)\(x+\frac{4}{5.9}+\frac{4}{9.13}+\frac{4}{13.17}+...+\frac{4}{41.45}=-\frac{37}{45}\)
\(x+\left(\frac{9-5}{5.9}+\frac{13-9}{9.13}+\frac{17-13}{13.17}+...+\frac{45-41}{41.45}\right)=-\frac{37}{45}\)
\(x+\left(\frac{1}{5}-\frac{1}{9}+\frac{1}{9}-\frac{1}{13}+\frac{1}{13}-\frac{1}{17}+....+\frac{1}{41}-\frac{1}{45}\right)-\frac{37}{45}\)
\(x+\left(\frac{1}{5}-\frac{1}{45}\right)=-\frac{37}{45}\)
\(x+\frac{8}{45}=-\frac{37}{45}\)
\(x=-\frac{37}{45}-\frac{8}{45}\)
\(x=-1\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) Ta có:+) \(\frac{12}{16}=\frac{-x}{4}\) <=> 12.4 = 16.(-x)
<=> 48 = -16x
<=> x = 48 : (-16) = -3
+) \(\frac{12}{16}=\frac{21}{y}\) <=> 12y = 21.16
<=> 12y = 336
<=> y = 336 : 12 = 28
+) \(\frac{12}{16}=\frac{z}{-80}\) <=> 12. (-80) = 16z
<=> -960 = 16z
<=> z = -960 : 16 = -60
b) Ta có: \(\frac{x+3}{7+y}=\frac{3}{7}\) <=> (x + 3).7 = 3(7 + y)
<=> 7x + 21 = 21 + 3y
<=> 7x = 3y
<=> \(\frac{x}{3}=\frac{y}{7}\)
Áp dụng t/c của dãy tỉ số bằng nhau, ta có:
\(\frac{x}{3}=\frac{y}{7}=\frac{x+y}{3+7}=\frac{20}{10}=2\)
=> \(\hept{\begin{cases}\frac{x}{3}=2\\\frac{y}{7}=2\end{cases}}\) => \(\hept{\begin{cases}x=2.3=6\\y=2.7=14\end{cases}}\)
Vậy ...
\(\frac{-x}{21}=\frac{20}{7}\)
\(\Rightarrow-x.7=21.20\)
\(\Rightarrow-x.7=420\)
\(\Rightarrow-x=420:7\)
\(\Rightarrow-x=-60\)
\(\frac{-x}{21}=\frac{20}{7}\)
\(\Rightarrow-x.7=20.21\)
\(\Rightarrow-7x=420\)
\(\Rightarrow x=420:-7\)
\(\Rightarrow x=-60\)
Vậy \(x=-60\)
Chúc bạn học tốt !!!