NCERT Solutions for class 10 Maths Pair of linear equations Ex 3.2 | CBSE Class 10 Maths solutions

CBSE Class 10 maths solutions pair of linear equations 3 2

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To understand the Algebraic interpretation of graphical representation i.e. intersecting lines implies unique solution, coinciding lines implies infinite solution and parallel lines implies no solution.

Description: In this video students will learn to relate graphical solutions and their algebraic

interpretation.

Execution: Teacher will find and plot the ordered pairs on the graph paper. Students will be asked to plot a pair of linear equation in two variables on the same Cartesian plane. They will find the graphical solution and will relate it to their algebraic interpretation.

00:02 Q1. Form the pair of linear equations in the following problems, and find their solutions

graphically.

00:18 (i) 10 students of Class X took part in a Mathematics quiz. If the number of girls is 4

more than the number of boys, find the number of boys and girls who took part in

the quiz.

00:35 Synthesis of information in given word problem.

01:20 Framing equations using given condition.

02:07 Algebraical representation of given condition

02:12 how to graph a linear equation in two variables

02:45 03:25 04:45 find at least 2 ordered pairs of the system of linear equation

05:07 make a table of ordered pairs (x,y) satisfying the given linear equation in two variables.

05:20 plot the ordered pairs on the graph paper

06:50 plot a pair of linear equation in two variables on the same Cartesian plane

07:30 read the point of intersection of the two lines and thus find the solution of pair of linear equations graphically.

08:52 (ii) 5 pencils and 7 pens together cost Rs 50, whereas 7 pencils and 5 pens together

cost Rs 46. Find the cost of one pencil and that of one pen.

09:18 Synthesis of information in given word problem.

09:50 Framing equations using given condition.

10:43 Algebraical representation of given condition

11:07 how to graph a linear equation in two variables

12:50 14:32 find at least 2 ordered pairs of the system of linear equation

14:51 make a table of ordered pairs (x,y) satisfying the given linear equation in two variables.

15:05 plot the ordered pairs on the graph paper

16:10 plot a pair of linear equation in two variables on the same Cartesian plane

16:48 read the point of intersection of the two lines and thus find the solution of pair of linear equations graphically.

17:56 Q2. On comparing the ratios a1/b1 , a2/b2 and a3/b3 , find out whether the lines representing the following pairs of linear equations intersect at a point, are parallel or coincident:

18:52 (i) 5 x – 4 y + 8 = 0 ; 7 x + 6 y – 9 = 0

(ii) 9x + 3 y + 12 = 0 ; 18 x + 6 y + 24 = 0

(iii) 6 x – 3 y + 10 = 0 2 x – y + 9 = 0

18:38 Procedure to find the ratios

19:15 ratio of coefficients of x

19:23 ratio of coefficients of y

19:30 ratio of constant terms

relate relationship of ratios and their graphical representation

a1/b1 , a2/b2 and c1/c2

19:50 a1/b1 is not equal to a2/b2.graphical representation of system of linear equation is intersecting

relate relationship of ratios and their graphical representation

a1/b1 , a2/b2 and c1/c2

20:51 (ii) 9x + 3 y + 12 = 0 ; 18 x + 6 y + 24 = 0

21:32 Find ratio of coefficients of x

21:39 Find ratio of coefficients of y

21:50 Find ratio of constant terms

22:40 (iii) 6 x – 3 y + 10 = 0 2 x – y + 9 = 0

23:22 Find the ratio a1/b1 , a2/b2 and c1/c2

23:50 Find the relation between these ratios

24:01 Relate relationship of ratios and their graphical representation

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Solutions for CBSE class 10 Maths Pair of linear equations

NCERT solutions for class 10 maths Pair of linear equations

NCERT solutions for CBSE class 10 maths Pair of linear equations

graphical representation Graphical Method algebraical Method parallel coincident consistent, or inconsistent Algebraic Methods of Solving a Pair of Linear Equations Substitution Method

Elimination Method Cross - Multiplication Method

CBSE class 10 maths Solutions Pair of linear equations Exercise 3.5

Common core Math Pair of linear equations

ICSE Class 10 Pair of linear equations

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