Algebraic interpretation of Graphical representation of pair of linear equations | Word problems
To understand the Algebraic interpretation and 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. Aftab tells his daughter, “Seven years ago, I was seven times as old as you were then.
Also, three years from now, I shall be three times as old as you will be.” (Isn’t this
interesting?) Represent this situation algebraically and graphically.
00:25 Synthesis of information
00:55 Framing an equation using given condition.
01:28 Framing an equation with other condition.
02:00 Algebraical representation of given condition.
02:20 graphical representation
02:35 find at least 2 ordered pairs of the given equation.
04:06 find ordered pairs of equation.
05:10 plotting ordered pairs on same Cartesian plane
06:15 read the common point of intersection of lines when 2 equations are plotted on the same Cartesian plane.
06:40 Q2. The coach of a cricket team buys 3 bats and 6 balls for Rs 3900. Later, she buys another
bat and 2 more balls of the same kind for Rs 1300. Represent this situation algebraically
06:58 Synthesis of information
07:24 Framing an equation using given condition.
08:05 Framing an equation
08:40 Algebraical representation of given condition
how to graph a linear equation in two variables
09:14 find at least 2 ordered pairs of the given equation
12:20 make a table of ordered pairs (x,y) satisfying the given linear equation in two variables.
12:40 plot the ordered pairs on the graph paper
13:25 plot a pair of linear equation in two variables on the same Cartesian plane
13:40 read the point of intersection of the two lines and thus find the solution of pair of linear equations graphically
CBSE solutions for class 10 maths Chapter 3 Pair of linear equations Exercise 3.4
CBSE class 10 maths NCERT Solutions Chapter 3 Pair of linear equations Ex 3.2
CBSE class 10 maths NCERT Solutions Chapter 3 Pair of linear equations
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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