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# Balbharati solutions for Maharashtra state board SSC 9th Standard Maths 1 Algebra chapter 5 - Linear Equations in Two Variables [Latest edition]

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#### Chapters ## Chapter 5: Linear Equations in Two Variables

Practice Set 5.1Practice Set 5.2Problem Set 5

### Balbharati solutions for Maharashtra state board SSC 9th Standard Maths 1 Algebra Chapter 5 Linear Equations in Two Variables 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 Maharashtra state board SSC 9th Standard Maths 1 Algebra Chapter 5 Linear Equations in Two Variables 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 Maharashtra state board SSC 9th Standard Maths 1 Algebra Chapter 5 Linear Equations in Two Variables 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 Maharashtra state board SSC 9th Standard Maths 1 Algebra chapter 5 - Linear Equations in Two Variables

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Concepts covered in Maharashtra state board SSC 9th Standard Maths 1 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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