Ta có \(\frac{1+2y}{18}\)=\(\frac{1+4y}{24}\)

\(\Rightarrow\)(1+2y)24=(1+4y)18

\(\Rightarrow\)24+48y=18+72y

\(\Rightarrow\)24-18=72y-48y

\(\Rightarrow\)6=24y

\(\Rightarrow\)y=\(\frac{6}{24}\)

\(\Rightarrow\)y=\(\frac{1}{4}\)

Thay y=\(\frac{1}{4}\) vào đề ta có:

1 + 2\(\frac{1}{4}\) / 18 = 1 + 4\(\frac{1}{4}\) / 24 = 1 + 6\(\frac{1}{4}\) / 6x

=>\(\frac{1}{12}\)=\(\frac{\frac{5}{2}}{\frac{6}{x}}\)

=>12.\(\frac{5}{2}\)=6x

=>30=6x

=>x=5

Vậy x=5;y=\(\frac{1}{4}\)

ta co : 1+2y/18=1+4y/24

=> 24(1+2y)=18(1+4y)

=>24+48y=18+72y

=>24-18=72y-48y

=>6=24y

=>y=1/4 

thay y thanh 1/4 vao de bai ta co : 

1+1/2/18=1+1/24=(1+3/2)/6x

=>1/12=(5/2)/6x

=>12/(5/2)=6x

=>30=6x/x=5

vay x=5 va y=1/4

Ta có =

(1+2y)24=(1+4y)18

24+48y=18+72y

24-18=72y-48y

6=24y

y=

y=

Thay y= vào đề ta có:

1 + 2 / 18 = 1 + 4 / 24 = 1 + 6 / 6x

=>=

=>12.=6x

=>30=6x

=>x=5

Vậy x=5;y=

ta co : 1+2y/18=1+4y/24

=> 24(1+2y)=18(1+4y)

=>24+48y=18+72y

=>24-18=72y-48y

=>6=24y

=>y=1/4 

thay y thanh 1/4 vao de bai ta co : 

1+1/2/18=1+1/24=(1+3/2)/6x

=>1/12=(5/2)/6x

=>12/(5/2)=6x

=>30=6x/x=5

vay x=5 va y=1/4

\(\dfrac{1+2y}{18}=\dfrac{1+4y}{24}=\dfrac{1+6y}{6x}\)(ĐK: \(x\ne0\))
\(\dfrac{1+2y}{18}=\dfrac{1+4y}{24}\)
\(\Rightarrow\left(1+2y\right)24=\left(1+4y\right)18\)
\(\Rightarrow24+48y=18+72y\)
\(\Rightarrow72y-48y=24-18\)
\(\Rightarrow24y=6\)
\(\Rightarrow y=\dfrac{1}{4}\) \(\left(1\right)\)
Ta có: \(\dfrac{1+4y}{24}=\dfrac{1+6y}{6x}\) \(\left(2\right)\)
Thay \(\left(1\right)\) vào \(\left(2\right)\), ta có:
\(\dfrac{1+4\cdot\dfrac{1}{4}}{24}=\dfrac{1+6\cdot\dfrac{1}{4}}{6x}\)
\(\Rightarrow\dfrac{2}{24}=\dfrac{\dfrac{5}{2}}{6x}\)
\(\Rightarrow6x=\dfrac{\dfrac{5}{2}\cdot24}{2}\)
\(\Rightarrow6x=30\)
\(\Rightarrow x=5\)(thỏa mãn)
Vậy x = 5 và y = \(\dfrac{1}{4}\)
#YM

Ý bạn là :\(1+\frac{2y}{18}=1+\frac{4y}{24}=1+\frac{6y}{6x}\)

hay \(\frac{1+2y}{18}=\frac{1+4y}{24}=\frac{1+6y}{6x}\)ạ ??

Lần sau ghi rõ :>

Ta có: \(\frac{1+2y}{18}=\frac{1+4y}{24}\)

=> \(\left(1+2y\right).24=\left(1+4y\right).18\)

=> \(24+48y=18+72y\)

=> \(24-18=72y-48y\)

=> \(24y=6\)

=> \(y=\frac{1}{4}\)

Với y = 1/4 => \(\frac{1+4\cdot\frac{1}{4}}{24}=\frac{1+6\cdot\frac{1}{4}}{6x}\)

=> \(\frac{1}{12}=\frac{\frac{5}{2}}{6x}\)

=> \(6x=\frac{5}{2}.12\)

=> \(6x=30\)

=> \(x=5\)

ta co : 1+2y/18=1+4y/24

=> 24(1+2y)=18(1+4y)

=>24+48y=18+72y

=>24-18=72y-48y

=>6=24y

=>y=1/4 

thay y thanh 1/4 vao de bai ta co : 

1+1/2/18=1+1/24=(1+3/2)/6x

=>1/12=(5/2)/6x

=>12/(5/2)=6x

=>30=6x/x=5

vay x=5 va y=1/4

ta co : 1+2y/18=1+4y/24

=> 24(1+2y)=18(1+4y)

=>24+48y=18+72y

=>24-18=72y-48y

=>6=24y

=>y=1/4 

thay y thanh 1/4 vao de bai ta co : 

1+1/2/18=1+1/24=(1+3/2)/6x

=>1/12=(5/2)/6x

=>12/(5/2)=6x

=>30=6x/x=5

vay x=5 va y=1/4

(1+2y)/18=(1+6y)/6x=(1+2y+1+6y)/18+6x=(2+8y)/18+6x=(1+4y)/9+3x

=>(1+4y)/9+3x=(1+4y)/24 =>9+3x=24 =>3x=15 =>x=5

(1+2y)/18=(1+6y)/6x=(1+2y+1+6y)/18+6x=(2+8y)/18+6x=(1+4y)/9+3x

=>(1+4y)/9+3x=(1+4y)/24 =>9+3x=24 =>3x=15 =>x=5

Nhé bạn !

\(\dfrac{1+2y}{18}=\dfrac{1+4y}{24}=\dfrac{1+6y}{6x}\)

Ta có :

\(\dfrac{1+2y}{18}=\dfrac{1+4y}{24}\)

\(\Leftrightarrow24\left(1+2y\right)=18\left(1+4y\right)\)

\(\Leftrightarrow24+48y=18+72y\)

\(\Leftrightarrow72y-48y=24-18\)

\(\Leftrightarrow24y=6\)

\(\Leftrightarrow y=\dfrac{6}{24}=\dfrac{1}{4}\)

mà \(\dfrac{1+4y}{24}=\dfrac{1+6y}{6x}\)

\(\Leftrightarrow6x\left(1+4y\right)=24\left(1+6y\right)\)

\(\Leftrightarrow6x\left(1+4.\dfrac{1}{4}\right)=24\left(1+6.\dfrac{1}{4}\right)\left(thay.y=\dfrac{1}{4}.vào\right)\)

\(\Leftrightarrow6x.2=24\left(1+\dfrac{3}{2}\right)\)

\(\Leftrightarrow12x=24.\dfrac{5}{2}\)

\(\Leftrightarrow12x=60\)

\(\Leftrightarrow x=5\)

Vậy \(\left\{{}\begin{matrix}x=5\\y=\dfrac{1}{4}\end{matrix}\right.\)

ta co : 1+2y/18=1+4y/24

=> 24(1+2y)=18(1+4y)

=>24+48y=18+72y

=>24-18=72y-48y

=>6=24y

=>y=1/4 

thay y thanh 1/4 vao de bai ta co : 

1+1/2/18=1+1/24=(1+3/2)/6x

=>1/12=(5/2)/6x

=>12/(5/2)=6x

=>30=6x/x=5

vay x=5 va y=1/4

xét:\(\frac{1+2y}{18}=\frac{1+6y}{6x}=\frac{1+2y+1+6y}{18+6x}=\frac{2+8y}{18+6x}=\frac{2\left(1+4y\right)}{2\left(9+3x\right)}=\frac{1+4y}{9+3x}\) (t/c dãy tỉ số=nhau)

=>\(\frac{1+4y}{24}=\frac{1+4y}{9+3x}\Rightarrow24=9+3x\Rightarrow x=5\)

vậy x=5 thỏa mãn

Ta có: 1 + 2y/18 = 1 + 4y/24 = 1 + 6y/6x = 1 + 2y + 1 + 6y/18 + 6x = 2 + 8y/18 + 6x = 2(1 + 4y)/18 + 6x 
 \ 18 + 6x = 2 . 24 = 48
 \ 6x = 30
 \ x = 5

Ta có: 
(1) 1+2y/18 = 1+4y/24 
=> 24 + 48y = 18 + 72y 
<=> y=1/4 
(2) 1+4y/24=1+6y/6x 
Thay y=1/4 vào (2) ta tìm đc x=5 (thỏa)

Ta có: 
(1) 1+2y/18 = 1+4y/24 
=> 24 + 48y = 18 + 72y 
<=> y=1/4 
(2) 1+4y/24=1+6y/6x 
Thay y=1/4 vào (2) ta tìm đc x=5 (thỏa

cho 3 tỉ số = nhau là : a/b+c; b/c+a; c/a+b

tìm gt của mỗi tỉ số đó

ta co : 1+2y/18=1+4y/24

=> 24(1+2y)=18(1+4y)

=>24+48y=18+72y

=>24-18=72y-48y

=>6=24y

=>y=1/4 

thay y thanh 1/4 vao de bai ta co : 

1+1/2/18=1+1/24=(1+3/2)/6x

=>1/12=(5/2)/6x

=>12/(5/2)=6x

=>30=6x/x=5

vay x=5 va y=1/4