X = -\(\frac{19}{28}\)                                         X = -1                                               X = 24

de bn chep vao sach a?

\(\frac{11}{8}+\frac{13}{6}=\frac{85}{x}\)

\(\frac{85}{24}=\frac{85}{x}\)

\(x=24\)

\(2x-\frac{2}{11}=1\frac{1}{5}\)

\(2x-\frac{2}{11}=\frac{6}{5}\)

\(2x=\frac{76}{55}\)

\(x=\frac{38}{55}\)

a. \(\frac{11}{8}\)+ \(\frac{13}{6}\)= \(\frac{85}{x}\)

                    \(\frac{85}{24}\) =\(\frac{85}{x}\)

                             x   = \(\frac{24\cdot85}{85}\)

                             x   = 24

b. 2x - \(\frac{2}{11}\)=1\(\frac{1}{5}\)

     2x- \(\frac{2}{11}\)= \(\frac{6}{5}\)

     2x             = \(\frac{6}{5}\)+\(\frac{2}{11}\)

       x             = \(\frac{76}{55}\): 2

       x             = \(\frac{38}{55}\)

Học tốt nha ~~~~~ ỌvỌ

e, \(\frac{11}{8}+\frac{13}{6}=\frac{85}{x}\)

\(\Leftrightarrow\frac{85}{24}=\frac{85}{x}\)

\(\Leftrightarrow x=24\)

Vậy.......................

(x+2)/17+(x+4)/15+(x+6)/13=(x+8)/11+(x+10)/9+(x+12)/7

=>(x+2+17)/17+(x+4+15)/15+(x+6+13)/13=(x+8+11)/11+(x+10+9)/9+(x+12+7)/7

=>(x+19)/17+(x+19)/15+(x+19)/13=(x+19)/11+(x+19)/9+(x+19)/7

=>(x+19)/17+(x+19)/15+(x+19)/13-(x+19)/11-(x+19)/9-(x+19)/7=0

=>(x+19)*(1/17+1/15+1/13-1/11-1/9-1/7)=0

=>x+19=0

=>x=19

áp dụng tc tỉ lệ thức ta có :

\(\Leftrightarrow\frac{671x+2804}{3315}=\frac{239x+2462}{693}\Rightarrow\left(671x+2804\right)693=3315\left(239x+2462\right)\)

=>(671x+2804)693=693(671x+2804) (VT)

<=>693(671x+2804)=3315(239x+2462)

=>465003x+1943172=792285x+8161530

=>-327282x=621835

=>x=621835:(-327282)

=>x=-19

a, Ta có : \(\frac{x-10}{1994}+\frac{x-8}{1996}+\frac{x-6}{1998}+\frac{x-4}{2000}+\frac{x-2}{2002}=\frac{x-2002}{2}+\frac{x-2000}{4}+\frac{x-1998}{6}+\frac{x-1996}{8}+\frac{x-1994}{10}\)

=> \(\frac{x-10}{1994}-1+\frac{x-8}{1996}-1+\frac{x-6}{1998}-1+\frac{x-4}{2000}-1+\frac{x-2}{2002}-1=\frac{x-2002}{2}-1+\frac{x-2000}{4}-1+\frac{x-1998}{6}-1+\frac{x-1996}{8}-1+\frac{x-1994}{10}-1\)

=> \(\frac{x-2004}{1994}+\frac{x-2004}{1996}+\frac{x-2004}{1998}+\frac{x-2004}{2000}\frac{x-2004}{2002}=\frac{x-2004}{2}+\frac{x-2004}{4}+\frac{x-2004}{6}+\frac{x-2004}{8}+\frac{x-2004}{10}\)

=> \(\frac{x-2004}{1994}+\frac{x-2004}{1996}+\frac{x-2004}{1998}+\frac{x-2004}{2000}\frac{x-2004}{2002}-\frac{x-2004}{2}-\frac{x-2004}{4}-\frac{x-2004}{6}-\frac{x-2004}{8}-\frac{x-2004}{10}=0\)

=> \(\left(x-2004\right)\left(\frac{1}{1994}+\frac{1}{1996}+\frac{1}{1998}+\frac{1}{2000}+\frac{1}{2002}-\frac{1}{2}-\frac{1}{4}-\frac{1}{6}-\frac{1}{8}-\frac{1}{10}=0\right)\)

=> \(x-2004=0\)

=> \(x=2004\)

Vậy phương trình có nghiệm là x = 2004 .

b, Ta có : \(\frac{x-85}{15}+\frac{x-74}{13}+\frac{x-67}{11}+\frac{x-64}{9}=10\)

=> \(\frac{x-85}{15}-1+\frac{x-74}{13}-2+\frac{x-67}{11}-3+\frac{x-64}{9}-4=10-1-2-3-4=0\)

=> \(\frac{x-100}{15}+\frac{x-100}{13}+\frac{x-100}{11}+\frac{x-100}{9}=0\)

=> \(\left(x-100\right)\left(\frac{1}{15}+\frac{1}{13}+\frac{1}{11}+\frac{1}{9}\right)=0\)

=> \(x-100=0\)

=> \(x=100\)

Vậy phương trình có nghiệm là x = 100 .

vế trái có bị sai ko em. chị nghĩ câu hỏi nên là: x+2/17 + x+4/15 + x+6/13=x+8/11 + x+10/9 + x+12/7

\(\frac{11}{8}+\frac{13}{6}=\frac{85}{x}\)

\(\frac{85}{24}=\frac{85}{x}\)

\(=>x=24\)

Học tốt

\(\frac{11}{8}+\frac{13}{6}=\frac{85}{x}\)

\(\Leftrightarrow\frac{85}{24}=\frac{85}{x}\)

\(\Leftrightarrow85\times x=85\times24\)

\(\Leftrightarrow85\times x=2040\)

\(\Leftrightarrow x=24\)

Vậy \(x=24\) 

11/8 + 13/6 = 33/24 + 52/24 = 85/24 = 85/x

Vậy x = 24

#Học tốt#

#)Giải :

a) x + 2x + 3x + ... + 100x = - 213

=> 100x + ( 2 + 3 + 4 + ... + 100 ) = - 213 

=> 100x + 5049 = - 213 

<=> 100x = - 5262

<=> x = - 52,62

#)Giải :

b) \(\frac{1}{2}x-\frac{1}{3}=\frac{1}{4}x-\frac{1}{6}\)

\(\Rightarrow\frac{1}{2}x+\frac{1}{4}x=\frac{1}{3}+\frac{1}{6}\)

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

\(\Rightarrow\left(\frac{1}{2}+\frac{1}{4}\right)x=\frac{1}{2}\)

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

\(\Leftrightarrow x=\frac{2}{3}\)

a) x + 2x + 3x + ... +100x = -213

=>  x . (1 + 2 + 3 +... + 100) = - 213

=> x . 5050 = -213

=> x           = - 213 : 5050

=> x           = -213/5050

b) \(\frac{1}{2}x-\frac{1}{3}=\frac{1}{4}x-\frac{1}{6}\)

=> \(\frac{1}{2}x-\frac{1}{4}x=\frac{1}{3}-\frac{1}{6}\)

=> \(x.\left(\frac{1}{2}-\frac{1}{4}\right)=\frac{1}{6}\)

=> \(x.\frac{1}{4}=\frac{1}{6}\)

=> \(x=\frac{1}{6}:\frac{1}{4}\)

=> \(x=\frac{2}{3}\)

c) 3(x-2) + 2(x-1) = 10

=> 3x - 6 + 2x - 2 = 10

=> 3x + 2x - 6 - 2 = 10

=> 5x - 8 = 10

=> 5x = 10 + 8

=> 5x = 18

=> x = 18:5

=> x = 3,6

d) \(\frac{x+1}{3}=\frac{x-2}{4}\)

=> \(4\left(x+1\right)=3\left(x-2\right)\)

=>\(4x+4=3x-6\)

=> \(4x-3x=-4-6\)

=> \(x=-10\)

Làm nhanh cho mik nhé , mik đang vội lắm 

\(\frac{-11}{8}-\frac{-13}{6}=\frac{5}{x}\)

=> \(\frac{-33}{24}-\frac{-52}{24}=\frac{5}{x}\)

=> \(\frac{\left(-33\right)-\left(-52\right)}{24}=\frac{5}{x}\)

=> \(\frac{19}{24}=\frac{5}{x}\)

=> \(19x=24\cdot5\)

=> \(19x=120\)

=> \(x=\frac{120}{19}\)

120/19 nha

từ đề bài: ta có:  1 -  x/17 - 2/17 + x/15 - 4/15 + x/13 - 6/13   =   x/11 - 8/11 + x/9 - 10/9 + x/7 - 12/7

    Tới đây thì tự giải nha