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28 tháng 8 2020

\(\frac{3}{4}x-\frac{1}{7}=\frac{1}{6}x+\frac{1}{3}\)

=> \(\frac{3}{4}x-\frac{1}{7}-\frac{1}{6}x-\frac{1}{3}=0\)

=> \(\left(\frac{3}{4}-\frac{1}{6}\right)x+\left(-\frac{1}{7}-\frac{1}{3}\right)=0\)

=> \(\frac{7}{12}x-\frac{10}{21}=0\)

=> \(\frac{7}{12}x=\frac{10}{21}\)

=> x = 40/49

28 tháng 8 2020

\(\frac{3}{4}x-\frac{1}{7}=\frac{1}{6}x+\frac{1}{3}\)
\(\Rightarrow\frac{3}{4}x-\frac{1}{6}x=\frac{1}{3}+\frac{1}{7}\)
\(\Rightarrow\left(\frac{3}{4}-\frac{1}{6}\right)x=\frac{10}{21}\)
\(\Rightarrow\frac{7}{12}x=\frac{10}{21}\)
\(\Rightarrow x=\frac{10}{21}:\frac{7}{12}\)
\(\Rightarrow x=\frac{40}{49}\)

6 tháng 2 2022

<=>\(\left|\dfrac{1}{2}-2x\right|=\dfrac{5}{3}< =>\left[{}\begin{matrix}\dfrac{1}{2}-2x=\dfrac{5}{3}\\\dfrac{1}{2}-2x=\dfrac{-5}{3}\end{matrix}\right.< =>\left[{}\begin{matrix}2x=\dfrac{-7}{6}\\2x=\dfrac{13}{6}\end{matrix}\right.< =>\left[{}\begin{matrix}x=\dfrac{-7}{12}\\x=\dfrac{13}{12}\end{matrix}\right.\)

6 tháng 2 2022

\(\left|\dfrac{1}{2}+2x\right|+\dfrac{2}{3}=\dfrac{7}{3}\)

\(\left|\dfrac{1}{2}+2x\right|=\dfrac{7}{3}-\dfrac{2}{3}=\dfrac{5}{3}\)

\(\left[{}\begin{matrix}\dfrac{1}{2}+2x=\dfrac{5}{3}\\\dfrac{1}{2}+2x=-\dfrac{5}{3}\end{matrix}\right.\)

⇔ \(\left[{}\begin{matrix}x=\dfrac{7}{12}\\x=-\dfrac{13}{12}\end{matrix}\right.\)

Vậy ...

6 tháng 2 2023

[x-1]/7=[-3]/[y+3]`

`=>(x-1)(y+3)=-21=-21.1=-1.21=-3.7=-7.3`

`@{(x-1=-21),(y+3=1):}=>{(x=-20),(y=-2):}`

`@{(x-1=-1),(y+3=21):}=>{(x=0),(y=18):}`

`@{(x-1=-3),(y+3=7):}=>{(x=-2),(y=4):}`

`@{(x-1=-7),(y+3=3):}=>{(x=-6),(y=0):}`

27 tháng 1 2019

a)

\(6x+5=4x-7\)

\(\Leftrightarrow6x-4x=-7-5\)

\(\Leftrightarrow2x=-12\)

\(\Leftrightarrow x=-6\)

27 tháng 1 2019

b)

\(-3\left(x-5\right)-1=2x-1\)

\(\Leftrightarrow-3x+15-1=2x-1\)

\(\Leftrightarrow-3x-2x=-1-15+1\)

\(\Leftrightarrow-5x=-15\)

\(\Leftrightarrow x=3\)

26 tháng 2 2022

q, bạn ghi đề rõ nhé 

s, \(\dfrac{2}{3}x=\dfrac{1}{2}-\dfrac{7}{12}=\dfrac{-1}{12}\Leftrightarrow x=-\dfrac{1}{12}:\dfrac{2}{3}=-\dfrac{3}{24}=-\dfrac{1}{8}\)

t, \(\dfrac{3}{4}x=\dfrac{1}{6}-\dfrac{1}{5}=\dfrac{-1}{30}\Leftrightarrow x=-\dfrac{1}{30}:\dfrac{3}{4}=-\dfrac{4}{90}=-\dfrac{2}{45}\)

u, \(\dfrac{1}{6}x=\dfrac{3}{8}-\dfrac{1}{4}=\dfrac{1}{8}\Leftrightarrow x=\dfrac{1}{8}:\dfrac{1}{6}=\dfrac{6}{8}=\dfrac{3}{4}\)

26 tháng 2 2022

s, 23x=12−712=−112⇔x=−112:23=−324=−1823x=12−712=−112⇔x=−112:23=−324=−18

t, 34x=16−15=−130⇔x=−130:34=−490=−24534x=16−15=−130⇔x=−130:34=−490=−245

u, 16x=38−14=18⇔x=18:16=68=34

HT

29 tháng 8 2020

Ta có : \(\frac{3}{2x+1}+\frac{10}{4x+2}-\frac{6}{6x+3}=\frac{12}{26}\)

\(\Rightarrow\frac{3}{2x+1}+\frac{5.2}{2\left(2x+1\right)}-\frac{3.2}{3\left(2x+1\right)}=\frac{6}{13}\)

=> \(\frac{3}{2x+1}+\frac{5}{2x+1}-\frac{2}{2x+1}=\frac{6}{13}\)

=> \(\frac{3+5-2}{2x+1}=\frac{6}{13}\)

=> \(\frac{6}{2x+1}=\frac{6}{13}\)

=> 2x + 1 = 13

=> 2x = 12

=> x = 6

Vậy x = 6

29 tháng 8 2020

\(\frac{3}{2x+1}+\frac{10}{2\left(2x+1\right)}-\frac{6}{3\left(2x+1\right)}=\frac{6}{13}\)                

\(\frac{3}{2x+1}+\frac{5}{2x+1}-\frac{2}{2x+1}=\frac{6}{13}\)                

\(\frac{6}{2x+1}=\frac{6}{13}\)  

\(\Rightarrow2x+1=13\left(6=6\right)\)         

\(2x=12\)    

\(x=6\)     

13 tháng 3 2022

mik đg cần gấp ah =)

\(\left(x-3\right)\cdot\left(y-5\right)=3\)

=>\(\left(x-3\right)\cdot\left(y-5\right)=1\cdot3=3\cdot1=\left(-1\right)\cdot\left(-3\right)=\left(-3\right)\cdot\left(-1\right)\)

=>\(\left(x-3;y-5\right)\in\left\{\left(1;3\right);\left(3;1\right);\left(-1;-3\right);\left(-3;-1\right)\right\}\)

=>\(\left(x,y\right)\in\left\{\left(4;8\right);\left(6;6\right);\left(2;2\right);\left(0;4\right)\right\}\)