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Graphical Representation of Linear Equations Part- 1

Enhancing Your Skills in Solving Linear Equations in Two Variables

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Graphical Representation of Linear Equations Part- 1
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What is meant by Linear Equation in two variables?
What is the general form of a Linear Equation in two variables?
How to write four solutions for a given linear equation in two variables?
How to find which is the correct solution out of the given solutions for a linear equation in two variables?

Nilalaman ng Kurso

1 na mga seksyon • 5 mga lektura • 01:05:13 kabuuang haba

Introduction

07:33

After going through this course, the students will understand:

Any equation which can be put in the form ax + by + c = 0, where a, b and c are real numbers, and a and b are not both zero, is called a linear equation in two variables.

The highest power of x and y in the equation is 1. The number multiplied to variable is called coefficient.

The geometrical (i.e., graphical) representation of a linear equation in two variables is a straight line.

The solution of a linear equation is not affected when:

(i) the same number is added to (or subtracted from) both the sides of the equation.

(ii) you multiply or divide both the sides of the equation by the same non-zero number.

A linear equation in two variables has infinitely many solutions.

Equations of two lines

08:51
  1. How to write the equations of two lines passing through a solution given in the question? How many more such lines are there, and why?
  2. If a point (i.e. values of x and y given) lies on the graph of a linear equation in two variables, then how to find the value of coefficient of one variable given in the question?

Graph of Linear equation in two variables

17:02

How to draw the graph of linear equation in two variables?

Drawing a Linear Equation for taxi fare and distance

12:23

The taxi fare in a city is given in the question where fare for first km. is given and the rate of fare for subsequent distance is given per km. Distance covered and total fare are given in the question as x km. and Rs.y respectively. How to write a linear equation for the above information and also to draw its graph.

Geometric Representation of Linear Equation

19:21
  1. How to geometrically represent a linear equation in one variable?
  2. How can we geometrically represent a linear equation in two variables when only one variable is given in the question?
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Basic knowledge of Algebra and Geometric concepts

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Tungkol sa kursong ito

What is the meaning of Linear Equation in two variables?

What is the standard form of Linear Equation in two variables?

Whether the solution of a linear equation is affected when the same number is added or substracted on both sides of the equation?

What is the graphical representation of a linear equation in two variables?

When the cost of one item is twice the cost of another item, how to write a linear equation in two variables to represent the situation?

How to express an equation as a Linear equation in the form ax+by+c=0 and find out the values of a, b and c.

How to rewrite the given equation in the standard form of linear equation in two variables and finding values of coefficients of variables and also c.

How to write the four solutions for a given linear equation in two variables?

How to find whether a given linear equation in two variables has only one unique solution or only two solutions or infinitely many solutions?

How to find which is the correct solution out of the given solutions for a linear equation in two variables?

How to solve the linear equation in which there is only one variable?

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