Ta có \(\frac{2x}{3y}=-\frac{1}{3}\)

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

Áp dụng tính chất dãy tỉ số bằng nhau ta có

\(\frac{2x}{-1}=\frac{3y}{3}=\frac{2x+3y}{-1+3}=\frac{7}{2}\)

\(\Rightarrow\hept{\begin{cases}\frac{2x}{-1}=\frac{7}{2}\\\frac{3y}{3}=\frac{7}{2}\end{cases}}\)

\(\Leftrightarrow\hept{\begin{cases}2x=-\frac{7}{2}\\y=\frac{7}{2}\end{cases}}\)

\(\Leftrightarrow\hept{\begin{cases}x=-\frac{7}{4}\\y=\frac{7}{2}\end{cases}}\)

Vậy \(x=-\frac{7}{4};y=\frac{7}{2}\)

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## Mirai

Theo bài ra ta cs 

\(\frac{2x}{3y}=-\frac{1}{3}\Rightarrow\frac{2x}{-1}=\frac{3y}{3}\)và \(2x+3y=7\)

ADTC dãy tỉ số bằng nhau ta cs 

\(\frac{2x}{-1}=\frac{3y}{3}=\frac{2x+3y}{-1+3}=\frac{7}{2}\)

\(\Rightarrow\hept{\begin{cases}\frac{2x}{-1}=\frac{7}{2}\\\frac{3y}{3}=\frac{7}{2}\end{cases}\Rightarrow\hept{\begin{cases}2x=-\frac{7}{2}\\3y=\frac{21}{2}\end{cases}\Rightarrow}\hept{\begin{cases}x=-\frac{7}{4}\\y=\frac{7}{2}\end{cases}}}\)

\(Ta-co:\frac{2x}{3y}=-\frac{1}{3}< =>\frac{2x}{-1}=\frac{3y}{3}\)

Áp dụng tc của dãy tỉ số bằng nhàu :

\(\frac{2x}{-1}=\frac{3y}{3}=\frac{2x+3y}{-1+3}=\frac{7}{2}\)

\(=>\hept{\begin{cases}\frac{2x}{-1}=\frac{7}{2}=>4x=-7=>x=\frac{-7}{4}\\\frac{3y}{3}=\frac{7}{2}=>6y=21=>y=\frac{21}{6}\end{cases}}\)

Vậy ...

\(x=\frac{2a-3}{a-1}=\frac{2\left(a-1\right)-1}{a-1}=2-\frac{1}{a-1}\)

Để x là số nguyên => \(\frac{1}{a-1}\)nguyên

=> \(1⋮a-1\)

=> \(a-1\inƯ\left(1\right)=\left\{\pm1\right\}\)

=> \(a=\left\{2;0\right\}\)

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

\(\Rightarrow a-1\inƯ\left(-2\right)=\left\{\pm1;\pm2\right\}\)

c) Ta có: \(\left(3x-5\right)\left(2x+1\right)=12\)

\(\Leftrightarrow6x^2+3x-10x-5-12=0\)

\(\Leftrightarrow6x^2-7x-17=0\)

\(\Delta=\left(-7\right)^2-4\cdot6\cdot\left(-17\right)=49+408=457\)

Vì \(\Delta>0\) nên phương trình có hai nghiệm phân biệt là:

\(\left\{{}\begin{matrix}x_1=\dfrac{7+\sqrt{457}}{12}\\x_2=\dfrac{7-\sqrt{457}}{12}\end{matrix}\right.\)

a) 9/5 + 2/5 x 4/6 = 9/5 + 4/15 = 27/15 + 4/15 = 31/15
b) 3/8 x 2 - 6/7 x 1/3 = 3/4 - 2/7 = 21/28 - 8/28 = 13/28

a) 9/5 + 2/5 x 4/6 = 9/5 + 4/15 = 27/15 + 4/15 = 31/15
b) 3/8 x 2 - 6/7 x 1/3 = 3/4 - 2/7 = 21/28 - 8/28 = 13/28

1. They celebrate it in the first month of spring. 

2. People often clean their house. 

3. It means fire.

4. Yes, it is. 

1. They celebrate it in the first month of spring. 

2. People often clean their house. 

3. It means fire.

4. Yes, it is. 

1. It is easy for everyone to get access to the Internet

2.Solar

1 not

2 It is easy for everyone to get access to the internet

3 C

Mk quay dọc ra cho dễ nhìn nhé

I, 

1. best

2. happiest

3. faster

4. more colourful

5. better

6. good

7. least

8. prettiest

9. the best

10. the sicker

I/

1. best

2. happiest

3. faster

4. more colourful

5. better

6. good

7. least

8. prettier

9. the better

10. the sticker

II/

3. more slowly

III/

1. Sarah is younger than Tim

2. Your house is smaller than ours

3. Bill is shorter than David

4. My marks are better than Jack's

5. That book is as expensive as this one

6. My bike is faster than yours

1D

2C

3B

4D

5B

6B

7C