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# Balbharati solutions for Class 9 chapter 5 - Linear Equations in Two Variables [Latest edition]

## Chapter 5: Linear Equations in Two Variables

Practice Set 5.1Practice Set 5.2Problem Set 5

#### Balbharati solutions for Class 9 Chapter 5 Exercise Practice Set 5.1 [Page 86]

Practice Set 5.1 | Q 1 | Page 86

By using variables x and form any five linear equations in two variables.

Practice Set 5.1 | Q 2 | Page 86

Write five solutions of the equation + y = 7.

Practice Set 5.1 | Q 3.1 | Page 86

Solve the following sets of simultaneous equations.
x + y = 4 ; 2x - 5y = 1

Practice Set 5.1 | Q 3.2 | Page 86

Solve the following sets of simultaneous equations.
2x + y = 5; 3x - y = 5

Practice Set 5.1 | Q 3.3 | Page 86

Solve the following sets of simultaneous equations.
3x - 5=16;  x - 3= 8

Practice Set 5.1 | Q 3.4 | Page 86

Solve the following sets of simultaneous equations.
2y -x =0; 10+ 15= 105

Practice Set 5.1 | Q 3.5 | Page 86

Solve the following sets of simultaneous equations.
2+ 3y + 4 = 0;   x - 5y = 11

Practice Set 5.1 | Q 3.6 | Page 86

Solve the following sets of simultaneous equations.
2x - 7= 7; 3+ y = 22

#### Balbharati solutions for Class 9 Chapter 5 Exercise Practice Set 5.2 [Page 90]

Practice Set 5.2 | Q 1 | Page 90

In an envelope there are some 5 rupee notes and some 10 rupee notes. Total amount of these notes together is 350 rupees. Number of 5 rupee notes are less by 10 than number of 10 rupee notes. Then find the number of 5 rupee and 10 rupee notes.

Practice Set 5.2 | Q 2 | Page 90

The denominator of a fraction is 1 more than twice its numerator. If 1 is added to numerator and denominator respectively, the ratio of numerator to denominator is 1 : 2. Find the fraction.

Practice Set 5.2 | Q 3 | Page 90

The sum of ages of Priyanka and Deepika is 34 years. Priyanka is elder to Deepika by 6 years. Then find their today's ages.

Practice Set 5.2 | Q 4 | Page 90

The total number of lions and peacocks in a certain zoo is 50. The total number of their legs is140. Then find the number of lions and peacocks in the zoo.

Practice Set 5.2 | Q 5 | Page 90

Sanjay gets fixed monthly income. Every year there is a certain increment in his salary. After 4 years, his monthly salary was Rs. 4500 and after 10 years his monthly salary became 5400 rupees, then find his original salary and yearly increment.

Practice Set 5.2 | Q 6 | Page 90

The price of 3 chairs and 2 tables is 4500 rupees and price of 5 chairs and 3 tables is 7000 rupees, then find the price of 2 chairs and 2 tables.

Practice Set 5.2 | Q 7 | Page 90

The sum of the digits in a two-digits number is 9. The number obtained by interchanging the digits exceeds the original number by 27. Find the two-digit number.

Practice Set 5.2 | Q 8 | Page 90

In  ΔABC, the measure of angle A is equal to the sum of the measures of ∠B and ∠C. Also the ratio of measures of ∠B and ∠C is 4 : 5. Then find the measures of angles of the triangle.

Practice Set 5.2 | Q 9 | Page 90

Divide a rope of length 560 cm into 2 parts such that twice the length of the smaller part is equal to 1/3 of the larger part. Then find the length of the larger part.

Practice Set 5.2 | Q 10 | Page 90

In a competitive examination, there were 60 questions. The correct answer would carry 2 marks, and for incorrect answer 1 mark would be subtracted. Yashwant had attempted all the questions and he got total 90 marks. Then how many questions he got wrong ?

#### Balbharati solutions for Class 9 Chapter 5 Exercise Problem Set 5 [Pages 91 - 92]

Problem Set 5 | Q 1.1 | Page 91

Choose the correct alternative answers for the following questions.
If 3x + 5y = 9 and 5x + 3y= 7 then What is the value of  x +  y ?

• 2

• 16

• 9

• 7

Problem Set 5 | Q 1.2 | Page 91

Choose the correct alternative answers for the following questions.
'When 5 is subtracted from length and breadth of the rectangle, the perimeter becomes 26.' What is the mathematical form of the statement ?

• x - = 8

• x + y = 8

• x + y = 23

• 2x + y = 21

Problem Set 5 | Q 1.3 | Page 91

Ajay is younger than Vijay by 5 years. Sum of their ages is 25 years. What is Ajay's age ?

• 20

• 15

• 10

• 5

Problem Set 5 | Q 2.1 | Page 91
Solve the following simultaneous equations.
2x + y = 5 ; 3x - y  = 5
Problem Set 5 | Q 2.2 | Page 91

Solve the following simultaneous equations.
x  - 2  y  = -1 ; 2x -  y  = 7

Problem Set 5 | Q 2.3 | Page 91

Solve the following simultaneous equations.
x  +  y = 11 ; 2x - 3  y  = 7

Problem Set 5 | Q 2.4 | Page 91

Solve the following simultaneous equations.
2x  +  y  = - 2 ; 3x - y  = 7

Problem Set 5 | Q 2.5 | Page 91

Solve the following simultaneous equations.
2x  - y = 5 ; 3x  + 2y  = 11

Problem Set 5 | Q 2.6 | Page 91

Solve the following simultaneous equations.
x - 2y  = - 2 ; x  + 2y  = 10

Problem Set 5 | Q 3.1 | Page 91

By equating coefficients of variables, solve the following equations.
3x - 4y = 7; 5x  + 2y  = 3

Problem Set 5 | Q 3.2 | Page 91

By equating coefficients of variables, solve the following equations.
5x  + 7 y  = 17 ; 3x - 2y  = 4

Problem Set 5 | Q 3.3 | Page 91

By equating coefficients of variables, solve the following equations.
x - 2y  = -10 ; 3x - 5y = -12

Problem Set 5 | Q 3.4 | Page 91

By equating coefficients of variables, solve the following equations.
4x + y  = 34 ;  x  + 4y  = 16

Problem Set 5 | Q 4.1 | Page 91

Solve the following simultaneous equations.
x/3 + y/4 = 4  ; x/2 - y/4 = 1

Problem Set 5 | Q 4.2 | Page 91

Solve the following simultaneous equations
x/3 + 5y = 13 ; 2x + y/2 = 19

Problem Set 5 | Q 4.3 | Page 91

Solve the following simultaneous equations.
2/x + 3/y = 13 ; 5/x - 4/y = -2

Problem Set 5 | Q 5 | Page 92

A two digit number is 3 more than 4 times the sum of its digits. If 18 is added to this  number, the sum is equal to the number obtained by interchanging the digits. Find the  number.

Problem Set 5 | Q 6 | Page 92

The total cost of 6 books and 7 pens is 79 rupees and the total cost of 7 books and 5 pens is 77 rupeess. Find the cost of 1 book and 2 pens.

Problem Set 5 | Q 7 | Page 92

The ratio of incomes of two persons is 9 : 7. The ratio of their expenses is 4 : 3. Every person saves rupees 200, find the income of each.

Problem Set 5 | Q 8 | Page 92

If the length of a rectangle is reduced by 5 units and its breadth is increased by 3 units, then the area of the rectangle is reduced by 8 square units. If length is reduced by 3 units and breadth is increased by 2 units, then the area of rectangle will increase by 67 square units. Then find the length and breadth of the rectangle.

Problem Set 5 | Q 9 | Page 92

The distance between two places A and B on road is 70 kilometers. A car starts from A and the other from B. If they travel in the same direction, they will meet after 7 hours. If they travel towards each other they will meet after 1 hour, then find their speeds.

Problem Set 5 | Q 10 | Page 92

The sum of a two digit number and the number obtained by interchanging its digits  is 99. Find the number.

## Chapter 5: Linear Equations in Two Variables

Practice Set 5.1Practice Set 5.2Problem Set 5

## Balbharati solutions for Class 9 Algebra chapter 5 - Linear Equations in Two Variables

Balbharati solutions for Class 9 chapter 5 (Linear Equations in Two Variables) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the Maharashtra State Board Balbharati Class 9 Mathematics 1 Algebra solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in Class 9 Algebra chapter 5 Linear Equations in Two Variables are Concept of Linear Equations in Two Variables, Elimination Method, General Form of Linear Equation in Two Variables, Substitution Method.

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