a,x-2/5=5/7

x=5/7+2/5

x=39/35

b,-2/5.x=4/15

x=4/15:-2/5

x=-2/3

a) \(x-\frac{2}{5}=\frac{5}{7}\)

\(x=\frac{2}{5}+\frac{5}{7}\)

\(x=\frac{14}{35}+\frac{25}{35}=\frac{39}{35}\)

b)

\(\frac{-2}{5}x=\frac{4}{15}\)

\(x=\frac{4}{15}:-\frac{2}{5}\)

\(x=\frac{4}{15}\cdot-\frac{5}{2}=-\frac{2}{3}\)

c) \(2x\left(x-\frac{1}{7}\right)=2x^2-\frac{2x}{7}\)

d) \(\frac{1}{2}+\frac{3}{4}x=\frac{1}{4}\)

\(\frac{3}{4}x=\frac{1}{4}-\frac{1}{2}\)

\(\frac{3}{4}x=-\frac{1}{4}\)

\(x=-\frac{1}{4}\cdot\frac{4}{3}=-\frac{1}{3}\)

f) \(\frac{11}{12}-\left(\frac{2}{5}+x\right)=\frac{2}{5}\)

\(\frac{2}{5}+x=\frac{11}{12}-\frac{2}{5}=\frac{31}{60}\)

\(x=\frac{31}{60}-\frac{2}{5}=\frac{7}{60}\)

\(\frac{x}{x+4}=\frac{5}{6}=>6x=5\left(x+4\right)=5x+20\)

\(=>6x-5x=20=>x=20\)

áp dụng \(\frac{a}{b}=\frac{c}{d}< =>a.d=b.c\)
 

1) \(\frac{x+1}{15}+\frac{x+2}{14}=\frac{x+3}{13}+\frac{x+4}{12}\)

\(\Leftrightarrow\frac{x+16}{15}+\frac{x+16}{14}-\frac{x+16}{13}-\frac{x+16}{12}=0\)

\(\Leftrightarrow\left(x+16\right)\left(\frac{1}{15}+\frac{1}{14}-\frac{1}{13}-\frac{1}{12}\right)=0\)

\(\Leftrightarrow x=-16\)

2)3)4) tương tự

Gợi ý : 2) cộng 3 vào cả hai vế

3)4) cộng 2 vào cả hai vế

5) \(\frac{x+1}{20}+\frac{x+2}{19}+\frac{x+3}{18}=-3\)

\(\Leftrightarrow\frac{x+21}{20}+\frac{x+21}{19}+\frac{x+21}{18}=0\)

\(\Leftrightarrow\left(x+21\right)\left(\frac{1}{20}+\frac{1}{19}+\frac{1}{18}\right)=0\)

\(\Leftrightarrow x=-21\)

6) sửa VT = 4 rồi tương tự câu 5)

Bạn ơi cho mình hỏi " 0 " tự nhiên ở đâu xuất hiện v ?

Ta có :

\(\frac{x-20}{19}=\frac{y+35}{20}=\frac{z-15}{37}\left(1\right)\)

\(\frac{x-3}{2}+\frac{5x-6}{9}=1\left(2\right)\)

Giải phương trình 2 ,ta có :

\(\frac{19x-39}{18}=1\)

\(19x-39=18\)

\(19x=57\)

\(x=3\)

Thay x = 3 vào phương trình 1 ,ta có :

\(\frac{x-20}{19}=\frac{y+35}{20}=\frac{z-15}{37}\)

\(\frac{3-20}{19}=\frac{y+35}{20}=\frac{z-15}{37}\)

\(\frac{y-35}{20}=\frac{z-15}{37}=\frac{-17}{19}\)

\(\Rightarrow\hept{\begin{cases}\frac{y-35}{20}=\frac{-17}{19}\\\frac{z-15}{37}=\frac{-17}{19}\end{cases}}\Rightarrow\hept{\begin{cases}y=\frac{325}{19}\\z=\frac{-344}{19}\end{cases}}\)

a) Ta có:

\(\frac{x}{x+4}=\frac{5}{6}\)

\(\Rightarrow6x=5\left(x+4\right)\)

\(\Rightarrow6x=5x+20\)

\(\Rightarrow5x+20-6x=0\)

\(-x=-20\)

\(x=20\)

b)Ta có:  \(\frac{x-3}{x+5}=\frac{5}{7}\)

\(\Rightarrow7\left(x-3\right)=5\left(x+5\right)\)

\(\Rightarrow7x-21=5x+25\)

\(\Rightarrow7x-21-5x-25=0\)

\(2x=46\)

\(x=23\)

c)Ta có: \(\frac{x+4}{20}=\frac{5}{20}\)

\(\Rightarrow x+4=5\)

\(\Rightarrow x=1\)

GIÚP MÌNH VỚI

Bạn nhân chéo lại nhé

A, 2.1.(-5)=1.4.x (bạn tự tính nhé)

B, x-1.16=15.2

C, x.x=20.5

=x mũ 2=100

x=5mũ 2

\(=\frac{16}{5}.\frac{15}{16}-\left(\frac{3}{4}+\frac{2}{7}\right):\left(\frac{-29}{28}\right)\)

\(=3-\left(\frac{21}{28}+\frac{8}{28}\right):\left(\frac{-29}{28}\right)\)

\(=3-\left(\frac{29}{28}\right).\left(\frac{-28}{29}\right)\)

\(=3-\left(-1\right)\)

\(=4\)

b)   \(=\left(\frac{1}{4}+\frac{25}{2}-\frac{5}{16}\right):\left(12-\frac{7}{12}:\left(\frac{3}{8}-\frac{1}{12}\right)\right)\)

       \(=\left(\frac{4}{16}+\frac{200}{16}-\frac{5}{16}\right):\left(12-\frac{7}{12}:\left(\frac{3.3}{2.3.4}-\frac{2}{2.3.4}\right)\right)\)

     \(=\left(\frac{199}{16}\right):\left(12-\frac{7}{12}:\left(\frac{9}{24}-\frac{2}{24}\right)\right)\)

      \(=\frac{199}{16}:\left(12-\frac{7}{12}.\frac{24}{7}\right)\)

    \(=\frac{199}{16}:\left(12-2\right)\)

\(=\frac{199}{16}:10\)

\(=\frac{199}{160}\)

c)   \(\left(\frac{-3}{5}+\frac{5}{11}\right):\frac{-3}{7}+\left(\frac{-2}{5}+\frac{6}{5}\right):\frac{-3}{7}\)

\(\left(\frac{-33}{55}+\frac{25}{55}\right):\frac{-3}{7}+\left(\frac{4}{5}\right):\frac{-3}{7}\)

\(\left(\frac{-8}{55}\right).\frac{-7}{3}+\frac{4}{5}.\frac{-7}{3}\)

\(\frac{-7}{3}\left(\frac{-8}{55}+\frac{4}{5}\right)\)

\(\frac{-7}{3}.\frac{36}{55}=\frac{-84}{55}\)

giờ mk phải đi ngủ r mai mk làm cho 

a. \(\frac{2x+3}{15}=\frac{7}{5}\)

\(\Leftrightarrow5\left(2x+3\right)=15.7\)

\(\Leftrightarrow10x+15=105\)

\(\Leftrightarrow10x=90\)

\(\Leftrightarrow x=9\)

b. \(\frac{x-2}{9}=\frac{8}{3}\)

\(\Leftrightarrow3\left(x-2\right)=9.8\)

\(\Leftrightarrow3x-6=72\)

\(\Leftrightarrow3x=78\)

\(\Leftrightarrow x=26\)

c. \(\frac{-8}{x}=\frac{-x}{18}\)

\(\Leftrightarrow-x^2=-144\)

\(\Leftrightarrow x^2=12^2\)

\(\Leftrightarrow\orbr{\begin{cases}x=12\\x=-12\end{cases}}\)

Mấy câu kia tương tự

d, \(\frac{2x+3}{6}=\frac{x-2}{5}\Leftrightarrow10x+15=6x-12\Leftrightarrow4x=-27\Leftrightarrow x=-\frac{27}{4}\)

e, \(\frac{x+1}{22}=\frac{6}{x}\Leftrightarrow x^2+x=132\Leftrightarrow x^2+x-132=0\Leftrightarrow\left(x-11\right)\left(x+12\right)=0\Leftrightarrow\orbr{\begin{cases}x=11\\x=-12\end{cases}}\)

f, \(\frac{2x-1}{2}=\frac{5}{x}\Leftrightarrow2x^2-x=10\Leftrightarrow2x^2-x-10=0\Leftrightarrow\left(x+2\right)\left(2x-5\right)=0\Leftrightarrow\orbr{\begin{cases}x=-2\\x=\frac{5}{2}\end{cases}}\)

g, \(\left(2x-1\right)\left(2x+1\right)=63\Leftrightarrow4x^2+2x-2x-1=63\Leftrightarrow4x^2-64=0\)

\(\Leftrightarrow x^2=16\Leftrightarrow x=\pm4\)

h, \(\frac{10x+5}{6}=\frac{5}{x+1}\Leftrightarrow\left(10x+5\right)\left(x+1\right)=30\Leftrightarrow10x^2+10x+5x+5=30\)

\(\Leftrightarrow10x^2+15x-25=0\Leftrightarrow5\left(2x+5\right)\left(x-1\right)=0\Leftrightarrow\orbr{\begin{cases}x=-\frac{5}{2}\\x=1\end{cases}}\)

\(e,\frac{22}{15}-x=-\frac{8}{27}\)

=> \(x=\frac{22}{15}-\left[-\frac{8}{27}\right]\)

=> \(x=\frac{22}{15}+\frac{8}{27}\)

=> \(x=\frac{198}{135}+\frac{40}{135}=\frac{198+40}{135}=\frac{238}{135}\)

\(g,\left[\frac{2x}{5}-1\right]:\left[-5\right]=\frac{1}{4}\)

=> \(\left[\frac{2x}{5}-\frac{1}{1}\right]=\frac{1}{4}\cdot\left[-5\right]\)

=> \(\left[\frac{2x}{5}-\frac{5}{5}\right]=-\frac{5}{4}\)

=> \(\frac{2x-5}{5}=-\frac{5}{4}\)

=> \(2x-5=-\frac{5}{4}\cdot5=-\frac{25}{4}\)

=> \(2x=-\frac{5}{4}\)

=> \(x=-\frac{5}{8}\)

\(h,-2\frac{1}{4}x+9\frac{1}{4}=20\)

=> \(-\frac{9}{4}x+\frac{37}{4}=20\)

=> \(-\frac{9}{4}x=20-\frac{37}{4}=\frac{43}{4}\)

=> \(x=\frac{43}{4}:\left[-\frac{9}{4}\right]=\frac{43}{4}\cdot\left[-\frac{4}{9}\right]=\frac{43}{1}\cdot\left[-\frac{1}{9}\right]=-\frac{43}{9}\)

\(i,-4\frac{3}{5}\cdot2\frac{4}{23}\le x\le-2\frac{3}{5}:1\frac{6}{15}\)

=> \(-\frac{23}{5}\cdot\frac{50}{23}\le x\le-\frac{13}{5}:\frac{21}{15}\)

=> \(-\frac{1}{1}\cdot\frac{10}{1}\le x\le-\frac{13}{5}\cdot\frac{15}{21}\)

=> \(-10\le x\le-\frac{13}{1}\cdot\frac{3}{21}\)

=> \(-10\le x\le-\frac{13}{1}\cdot\frac{1}{7}\)

=> \(-10\le x\le-\frac{13}{7}\)

Đến đây tìm x