### NCERT Solutions For Class 10 Math Chapter – 3 Exercise – 3.6

- by Dev Bhardwaj

*NCERT Solutions For Class 10 Math Chapter – 3 Exercise – 3.6*

** **

**Q1. Solve the following pairs of linear equation by reducing them to a pair of linear equations:**

**1/2x + 1/3y = 2**

**1/3x + 12y = 13/6**

**2/****√x + 3/√y = 2**

**4/****√****x – 9/****√****y = -1**

**4/x + 3y = 14**

**3/x – 4y = 23**

**5/x-1 + 1/y – 2 = 2**

**6/x- 1 – 3/y – 2 = 1**

**7x – 2y/xy = 5**

**8x + 7y /xy = 15**

**6x + 3y = 6xy**

**2x + 4y = 5xy**

**10/x + y + 2/x – y = 4**

**15/x + y – 5/x – y = -2**

**1/3x**

**1/2(3x + y) – 1/2(3x – y) = -1/8**

**Solution:-**

** **

- 3a + 2b = 12 (I)

2a + 3b = 13 (ii)

Solving (I) and (ii) we get

A = 2 , b = 3

X = 1/2 , y = 1/3

- 2a + 3b = 2 (I)

4a – 9b = -1 (ii)

Solving (I) and (ii) we get a = 1/2 , b = 1/3

A = 1/2 = 1/√x = 1/2

√x = 2 = x = 4

B = 1/3 = 1/√y = 1/3

√y = 3 y = 9

- 4a + 3y = 14 (I)

3a – 4y = 23 (ii)

Solving for a and y we get

A = 5 y = -2

1/x = 5 and y = -2

X = 1/5 y = -2

- 5a+ b = 2 (I)

6a – 3 = 1 (ii)

Solving (I)) and (ii) we get

A = 1/3 , b = 1/3

1/x-1 = 1/3 and 1/y – 2 = 1/3

X = 4 and y = 5 is the solution,

- 7/y – 2/x = 5 (I)

8/y + 7/x = 15 (ii)

7b – 2a = 5 (I)

8b + 7a = 15 (ii)

Solving for a , b we get

A = 1 and b = 1

1/x = 1 and 1/y = 1

X = 1 and y = 1 is the solutions.

- 6/y + 3/x = 6

2x + 4y = 5xy

2/y + 4/x = 5

Let 1/x = a , 1/y = b.

From (I) and (ii) we get

6b + 3a = 6 (iii)

2b + 4a = 5 (iv)

Solving (iii) and (iv) we get a = 1 , b = 1/2

A = 1 = 1/x = 1 x = 1

B = 1/2 1/y = 1/2 = y= 2

- 10a + 2b = 4 (I)

15a – 5b = -2 (ii)

Solving (I) and (ii) we get a = 1/5 b = 1

A = 1/5 = 1/x + y = 1/5 = x + y = 5 (iii)

B = 1 1/x-y = 1 = x – y = 1 (iv)

Solving (iii) and (iv) we get x = 3 , y = 2

- 4a + 4b = 3 (I)

4a – 4b = -1 (ii)

Solving (I) and (ii) we get a = 1/4 , b = 1/2

A = 1/4 = 1/3x + y = 1/4

3x + y = 4 (iii)

B = 1/22 = 1/3x – y = 1/2

3x – y = 2 (iv)

Solving (iii) and (iv) we get x = 1 , y = 1.

**Q2. Formulate the following problems as a pair of equations . and hence find their solutions:**

**Ritu can row downstream 20 km in 2 hours , and upstream 4 km in 2 hours . Find her speed of rowing in still water and the speed of the current.****2 women and 5 men can together finish an embroidery work in 4 days while 3 women and 6 men can finish it in 3 days. Find the time taken by 1 women alone to finish the work, and also that taken by 1 man alone.****Roohi travels 300 km to her home partly by train and party by Bus She takes 4 hours if she travels 60 km by train and the remaining by bus, she takes 10 minute longer . Find the speed of the train and the bus separately.**

**Solution:-**

** **

- x + y = 10 (I)

X – y = 2 (ii)

Solving (I) and (ii) we get x = 6 , y = 4.

- 20/x + 8/y = 1 (I)

18/x + 9/y = 1

Solving for x and y we get x = 36 , y = 18

- 15/x + 60/y = 1 (I)

4/x + 8/y = 1/6 (ii)

Multiplying (I) by 2 (ii) by 15 and then subtracting we get

-30/x = -3/6 15/60 + 60/y = 1

X = 60 , y = 80

** **

NCERT Solutions For Class 10 Math Chapter – 3 Exercise – 3.6 Q1. Solve the following pairs of linear equation…

## Recent Posts

- Chhattisgarh board class 12 Exam result 2021 declared
- Order & Chaos Online 3D MMORPG Game Download
- Rajshree Lottery Result today live 25-07-2021
- Mizoram State Lottery Today live 25-7-2021
- Arunchal pradesh lottery result live 25-7-2021
- Sunlott Lottery Result Today 25th July 2021
- Kerala lottery result today 25-7-2021
- Lottery Sambad 25.07.2021 result 11.55 AM/ 4 pm/ 8 PM
- Kolkata FF Fatafat Result today live 25.7.2021
- Agricultural Scientists Recruitment 2021: ASRB प्रशासनिक अधिकारी AO, वित्त और लेखा अधिकारी F&AO ऑनलाइन फॉर्म / अंतिम तिथि – 23.08.2021
- AP Inter 1st Year Results 2021 Date, First Year Manabadi Result
- RBSE 12th Result 2021 declared : Arts, Commerce, Science Name Wise
- TN 12th Marksheet Download 2021: Online Tamilnadu +2 Provisional Certificate
- Rajshree Lottery Result today live 24-07-2021
- Mizoram State Lottery Today live 24-7-2021
- Arunchal pradesh lottery result live 24-7-2021
- Sunlott Lottery Result Today 24th July 2021
- Kerala lottery result today 24-7-2021
- Lottery Sambad 24.07.2021 result 11.55 AM/ 4 pm/ 8 PM
- Kolkata FF Fatafat Result today live 24.7.2021
- AP Inter 2nd Year Results 2021: (examresults.ap.nic.in) Manabadi Second Year Marks Memo

## Archives

## Categories

- Admit Card
- Articles
- Articles
- Articles
- Bharkhadi Hindi
- Company Law
- Dry Fruits
- Eassy
- Games download
- GST
- Health
- Hindi Varnmala/हिदी वर्णमाला
- Income Tax
- Job
- latest sarkari yojana
- Learn English
- Learn Hindi
- LIC Policy
- NCERT
- NCERT Solutions
- News
- Notification
- Notification
- Notification
- Photo
- Recipe
- Recruitment
- religious
- result
- Table
- Tour travel
- vart kathaye
- Vegetable & Fruit name english or hindi
- उपाय
- घरेलु नुस्खे
- निबंध
- फलों के फायदे
- मुहावरे
- रेसिपी
- सरकारी योजना
- हिंदी व्याकरण