CBSE Class 10 maths solutions Pair of Linear Equations Ex 3.5 | Cross Multiplication Method

00:02 CBSE Class 10 maths solutions Pair of Linear Equations Ex 3.5 Q1. Which of the following pairs of linear equations has unique solution, no solution, or infinitely many solutions. In case there is a unique solution, find it by using cross multiplication method.

00:34 Terms of pair of linear equations

01:55 (i) Solving the pair of linear equabons by cross-multiplication method; x – 3 y – 3 = 0 ;3 x – 9 y – 2 = 0

03:30 (ii) Cross-multiplication method for Solving pair of linear equations; 2 x + y = 5 ; 3x + 2 y = 8

07:45 (iii)Solve a system of equations using Cross-multiplication method; 3 x – 5 y = 20 ; 6 x – 10 y = 40

09:43 (iv) Systems of Linear Equations: Solving by Cross-multiplication method; x – 3 y – 7 = 0 ; 3 x – 3 y – 15 = 0

Solve word problems by Cross-multiplication method | Algebra Cross-multiplication method word problems

14:10 CBSE Class 10 maths solutions Pair of Linear Equations Ex 3.5 Q2. (i) For which values of a and b does the following pair of linear equations have an infinite number of solutions? 2 x + 3 y = 7 ; ( a – b ) x + ( a + b ) y = 3 a + b – 2

20:46 (ii) For which value of k will the following pair of linear equations have no solution?

3 x + y = 1 ; (2 k – 1) x + ( k – 1) y = 2 k + 1

23:21 CBSE Class 10 maths solutions Pair of Linear Equations Ex 3.5 Q3. Solve the following pair of linear equations by the substitution and cross-multiplication

methods :8 x + 5 y = 9 ; 3 x + 2 y = 4

26:38 Solving equations by cross-multiplication

28:52 CBSE Class 10 maths solutions Pair of Linear Equations Ex 3.5 Q4. Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method :

29:48 (i) A part of monthly hostel charges is fixed and the remaining depends on the number of days one has taken food in the mess. When a student A takes food for 20 days she has to pay Rs 1000 as hostel charges whereas a student B, who takes food for 26 days, pays Rs 1180 as hostel charges. Find the fixed charges and the cost of food per day.

34:51 Algebraic Methods of Solving a Pair of Linear Equations : cross-multiplication

(ii) A fraction becomes 1/3 when 1 is subtracted from the numerator and it becomes 1/4 when 8 is added to its denominator. Find the fraction.

39:00 Solving the pair of linear equations by cross-multiplication method

(iii) Y ash scored 40 marks in a test, getting 3 marks for each right answer and losing 1 mark for each wrong answer. Had 4 marks been awarded for each correct answer and 2 marks been deducted for each incorrect answer, then Yash would have scored 50 marks. How many questions were there in the test?

43:40 Solve system of linear equations by cross-multiplication method

(iv) Places A and B are 100 km apart on a highway. One car starts from A and another from B at the same time. If the cars travel in the same direction at different speeds, they meet in 5 hours. If they travel towards each other, they meet in 1 hour. What are the speeds of the two cars?

(v) The area of a rectangle gets reduced by 9 square units, if its length is reduced by 5 units and breadth is increased by 3 units. If we increase the length by 3 units and the breadth by 2 units, the area increases by 67 square units. Find the dimensions of the rectangle.

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