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\(\frac{1+2y}{18}=\frac{1+4y}{24}=\frac{1+6y}{6x}=\frac{1+2y+1+6y}{18+6x}=\frac{2+8y}{6\left(3+x\right)}=\frac{1+4y}{3\left(3+x\right)}\)
\(\Rightarrow3\left(3+x\right)=24\)\(\Rightarrow3+x=8\)\(\Rightarrow x=5\)
Vậy \(x=5\)
Ta có: \(\frac{1+2y}{18}=\frac{1+4y}{24}\)
\(\Leftrightarrow24\left(1+2y\right)=18\left(1+4y\right)\)
\(\Leftrightarrow24+48y=18+72y\)
\(\Leftrightarrow24y-6=0\Leftrightarrow y=\frac{1}{4}\)
\(\Rightarrow\frac{1+2y}{18}=\frac{1+6y}{6x}\Leftrightarrow\frac{1+\frac{1}{2}}{18}=\frac{1+\frac{3}{2}}{6x}\)
\(\Leftrightarrow x=5\)
Vậy x = 5 và \(y=\frac{1}{4}\)
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\(\Rightarrow\)\(\frac{1+2y+1+4y+1+6y}{18+24+6x}\)=\(\frac{\left(1+1+1\right)+2y+4y+6y}{6\left(3+4+x\right)}=\frac{y\left(2+4+6\right)+3}{6\left(3+4+x\right)}=\frac{3+y.12}{6\left(7+x\right)}\)
=\(\frac{3\left(1+4y\right)}{3.2\left(7+x\right)}=\frac{1+4y}{14+2x}\)
\(\Rightarrow\)\(\frac{1}{14}=\frac{2y}{x}\Rightarrow x=14.2y=28y\)
\(\frac{x}{y}=28\)
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Ta có: \(\frac{1+2y}{18}=\frac{1+4y}{24}=\frac{1+6y}{6x}=\frac{1+2y+1+6y}{18+6x}=\frac{2\left(1+4y\right)}{6\left(x+3\right)}=\frac{1+4y}{3x+9}\)
\(=>\frac{1+4y}{24}=\frac{1+4y}{3x+9}\)\(=>3x+9=24\)
<=>3x=15
<=>x=5
Vậy x có giá trị bằng 5
Chúc bạn học tốt!
![](https://rs.olm.vn/images/avt/0.png?1311)
Áp dụng tính chất của dãy tỉ số bằng nhau, ta có:
\(\frac{1+2y}{18}=\frac{1+4y}{24}=\frac{1+6y}{6x}=\frac{1+2y+1+6y}{18+6x}\)
\(=\frac{2\left(1+4y\right)}{2\left(3x+9\right)}=\frac{1+4y}{3x+9}\)
\(\Rightarrow\frac{1+4y}{24}=\frac{1+4y}{3x+9}\)
\(\Rightarrow3x+9=24\)
\(\Rightarrow x+3=24:3=8\)
\(\Rightarrow x=5\)
\(\frac{1+2y}{18}=\frac{2+4y}{36}=\frac{1+4y}{24}=\frac{2+4y-\left(1+4y\right)}{36-24}=\frac{1}{12}\)
\(\Rightarrow\frac{1+4y}{24}=\frac{1}{12}\Rightarrow4y+1=2\Rightarrow y=\frac{1}{4}\)
\(\Rightarrow\frac{1+6y}{6x}=\frac{1}{12}\Rightarrow x=2\cdot\left(1+6y\right)=2+12y=2+12\cdot\frac{1}{4}=5\)
Vậy x = 5.
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có: 1 + 2y/18 = 2.(1+2y)/2.18 = 2+4y/36
Sử dụng tc dãy tỉ số bằng nhau ta có:
2+4y/36 = 1+4y/24 = 2+4y-1-4y/36-24 = 1/12
Do 1+2y/18 = 1/12=> y = 1/4
1+6y/6x = 1/12=> x = 5
Vậy x = 5; y = 1/4
![](https://rs.olm.vn/images/avt/0.png?1311)
Áp dụng tính chất dãy tỉ số bằng nhau:
\(\frac{1+2y}{18}=\frac{1+4y}{24}=\frac{1+6y}{6x}=\frac{1+2y+1+6y}{18+6x}=\frac{8y+2}{18+6x}\)
suy ra
\(\frac{1+4y}{24}=\frac{8y+2}{18+6x}=\frac{2\left(1+4y\right)}{2\left(9+3x\right)}=\frac{1+4y}{9+3x}\)
=>9+3x=24
3x=24-9
3x=15
x=15:3
x=5
TK CHO MÌNH NHA
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có:
\(\frac{1+2y}{18}=\frac{1+4y}{24}\)
\(\Rightarrow\left(1+2y\right).24=\left(1+4y\right).18\)
\(\Rightarrow24+48y=18+72y\)
\(\Rightarrow24-18=72y-48y\)
\(\Rightarrow24y=6\)
\(\Rightarrow y=6:24=\frac{1}{4}\)
Thay \(y=\frac{1}{4}\) vào đề bài ta có:
\(\frac{1+2.\frac{1}{4}}{18}=\frac{1+6.\frac{1}{4}}{6x}\)
\(\Rightarrow\frac{1+\frac{1}{2}}{18}=\frac{1+\frac{3}{2}}{6x}\)
\(\Rightarrow\frac{\frac{3}{2}}{18}=\frac{\frac{5}{2}}{6x}\)
=> \(\frac{3}{2}.6x=\frac{5}{2}.18\)
\(\Rightarrow9x=45\)
\(\Rightarrow x=45:9=5\)
Vậy \(x=5;y=\frac{1}{4}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Áp dụng tính chất dãy tỉ số bằng nhau:
\(\frac{1+2y}{18}=\frac{1+4y}{24}=\frac{1+6y}{6x}=\frac{1+6y-\left(1+2y\right)-\left(1+4y\right)}{6x-18-14}=-\frac{1}{6x-42}\)\(=\frac{1+4y-2\left(1+2y\right)}{24-2.18}=\frac{1}{12}\)
\(\Rightarrow-\frac{1}{6x-42}=\frac{1}{12}\Rightarrow6x-42=-12\Rightarrow6x=30\)
\(\Rightarrow x=5\)
bạn nhân chéo 2 phân số đầu là tìm được y
\(y=\frac{1+2y}{18}=\frac{1+2y+1+6y}{18+6x}=\frac{2+8y}{18+6x}\Rightarrow\frac{1+4y}{24}=\frac{2+8y}{18+6x}\)
\(\Rightarrow\frac{1+4y}{2\left(1+4y\right)}=\frac{24}{18+6x}=\frac{1}{2}\)
\(\Rightarrow18+6x=24.2\)
\(\Rightarrow6\left(3+x\right)=6.4.2\)
\(\Rightarrow3+x=8\Rightarrow x=5\)
y thì bạn tự tìm nhé! Dễ lắm!
tik nhé