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2) Vì \(\frac{x}{y}=\frac{5}{7}\Rightarrow\frac{x}{5}=\frac{y}{7}\)
Áp dụng tc của dãy tỉ số bằng nhau ta có:
\(\frac{x}{5}=\frac{y}{7}=\frac{x-y}{5-7}=\frac{7}{-2}\)
\(\Rightarrow\hept{\begin{cases}x=\frac{-7}{2}.5=\frac{-35}{2}\\y=\frac{-7}{2}.7=\frac{-1}{2}\end{cases}}\)
Vậy ..
\(c)\)
\(2x-\frac{1}{2}-\frac{1}{6}-\frac{1}{12}-...-\frac{1}{49.50}=\left(7-\frac{1}{50}+x\right)\)
\(\Rightarrow2x-\left(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+...+\frac{1}{49.50}\right)=\left(\frac{350}{50}-\frac{1}{50}+x\right)\)
\(\Rightarrow2x-\left(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{49.50}\right)=\frac{349}{50}+x\)
\(\Rightarrow2x-\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{49}-\frac{1}{50}\right)-x=\frac{349}{50}\)
\(\Rightarrow x-\left(1-\frac{1}{50}\right)=\frac{349}{50}\)
\(\Rightarrow x-\frac{49}{50}=\frac{349}{50}\)
\(\Rightarrow x=\frac{349}{50}+\frac{49}{50}\)
\(\Rightarrow x=\frac{199}{25}\)
Vậy \(x=\frac{199}{25}\)
~ Ủng hộ nhé
\(a)2.x-3=x+\frac{1}{2}\)
\(\Rightarrow2x-3-x=\frac{1}{2}\)
\(\Rightarrow x-3=\frac{1}{2}\)
\(\Rightarrow x=\frac{1}{2}+3\)
\(\Rightarrow x=\frac{1}{2}+\frac{6}{2}\)
\(\Rightarrow x=\frac{7}{2}\)
Vậy \(x=\frac{7}{2}\)
\(b)4.x-\left(2.x+1\right)=3-\frac{1}{3}+x\)
\(\Rightarrow4.x-2.x-1=\frac{9}{3}-\frac{1}{3}+x\)
\(\Rightarrow2.x-1=\frac{8}{3}+x\)
\(\Rightarrow2x-1-x=\frac{8}{3}\)
\(\Rightarrow x-1=\frac{8}{3}\)
\(\Rightarrow x=\frac{8}{3}+1\)
\(\Rightarrow x=\frac{8}{3}+\frac{3}{3}\)
\(\Rightarrow x=\frac{11}{3}\)
Vậy \(x=\frac{11}{3}\)
~ Ủng hộ nhé
\(\frac{5}{6}x+\frac{1}{2}-\frac{1}{3}x=0.75x-\frac{7}{8}\)
\(\frac{5}{6}x-\frac{1}{3}x-\frac{3}{4}x=-\frac{7}{8}-\frac{1}{2}\) ( 3/4x là 0,75x nha)
\(x\times\left(\frac{10}{12}-\frac{4}{12}-\frac{9}{12}\right)=-\frac{7}{8}-\frac{4}{8}\)
\(x\times\left(-\frac{3}{12}\right)=-\frac{11}{8}\Rightarrow x=\frac{11}{8}\div\left(-\frac{3}{12}\right)=-\frac{11}{2}\)
a)\(\left(\frac{4}{5}\right)^{2x+7}=\left(\frac{4}{5}\right)^4\)
=> 2x + 7 = 4
2x = 4 - 7
2x = -3
x = -3 : 2
x = -1,5
Vậy x = -1,5
Mình ko ghi áp dụng tính chất dãy bằng nhau nx nhé
\(\frac{x}{2}=\frac{y}{3}=\frac{z}{4}=\frac{x+y+z}{2+3+4}=2\Rightarrow x=2.2=4;y=2.3=6;z=2.4=8\)
\(\frac{x}{5}=\frac{y}{-6}=\frac{z}{7}=\frac{-z}{-7}=\frac{x+y-z}{5-6-7}=\frac{32}{-8}=-4\Leftrightarrow x=-20;y=24;z=-28\)
\(\frac{2x}{10}=\frac{3y}{6}=\frac{5z}{15}=\frac{2x-3y+5z}{10-6+15}=\frac{38}{19}=2\Rightarrow x=10;y=4;z=6\)
Bài giải
\(\frac{2}{7}x+\frac{5}{9}=\frac{1}{2}x+\frac{3}{4}\)
\(\frac{2}{7}x-\frac{1}{2}x=\frac{3}{4}-\frac{5}{9}\)
\(-\frac{5}{14}x=\frac{7}{36}\)
\(x=\frac{7}{36}\text{ : }\frac{-5}{14}\)
\(x=-\frac{49}{90}\)
\(\frac{2}{7}x+\frac{5}{9}=\frac{1}{2}x+\frac{3}{4}\)
\(\frac{2}{7}x-\frac{1}{2}x=\frac{3}{4}-\frac{5}{9}\)
\(x.\left(\frac{2}{7}-\frac{1}{2}\right)=\frac{7}{36}\)
\(x.-\frac{3}{14}=\frac{7}{36}\)
\(x=\frac{7}{36}:-\frac{3}{14}\)
\(x=-\frac{49}{54}\)
vậy \(x=-\frac{49}{54}\)
\(\frac{3}{4}x-\frac{2}{3}.\left(\frac{3}{5}x-\frac{6}{5}\right)=\frac{1}{7}-\frac{2}{9}x\)
\(\frac{3}{4}x-\frac{2}{5}x+\frac{4}{5}=\frac{1}{7}-\frac{2}{9}x\)
\(\left(\frac{3}{4}-\frac{2}{5}\right)x+\frac{4}{5}=\frac{1}{7}-\frac{2}{9}x\)
\(\left(\frac{15}{20}-\frac{8}{20}\right)x+\frac{4}{5}=\frac{1}{7}-\frac{2}{9}x\)
\(\frac{7}{20}x+\frac{4}{5}=\frac{1}{7}-\frac{2}{9}x\)
\(\frac{1}{7}-\frac{4}{5}=\frac{2}{9}x-\frac{7}{20}x\)
\(\frac{5}{35}-\frac{28}{35}=\left(\frac{2}{9}-\frac{7}{20}\right)x\)
\(\frac{-23}{35}=\left(\frac{40}{180}-\frac{63}{180}\right)x\)
\(\frac{-23}{180}x=\frac{-23}{35}\)
\(x=\frac{-23}{35}:\frac{-23}{180}\)
\(x=\frac{-23}{35}.\frac{180}{-23}\)
\(x=\frac{180}{35}\)
Vậy \(x=\frac{180}{35}\)
Chúc bạn học tốt
mình cũng nghĩ vậy!Phan Nguyễn Hải Yến ạ!mình đồng ý cả 2 tay 2 chân! olm ra luật quá đáng lắm!