Hello students in this session we are going to talk about Finding Solution Of Simultaneous Equations By Graphing. But before discussing it you should know about linear equation, it is an algebraic expression that contains either a static term or the outcome of a static and one variable. Meaning of Simultaneous is ‘occurring at the same time’ that means we have to find Solution of Equations when they are occurring at the same time. (get detail)
The meaning of this is a pair of linear equation in two variables is said to form a system of simultaneous linear equation like
x + 2y = 3, 2x – y = 5
We can find Solution of Simultaneous Equations by Graphing with the following methods and cases they are:-
Solving Linear Equations
Method :- let the given system of linear equation be
a1 x + b1 y + c1 = 0
a2 x + b2 y + c2 = 0 (or try linear equations calculator)
On the same graph paper, we draw the graph of each one of the given linear equation. Each such graph is always a straight line. Let’s suppose we have two lines L1 and L2 that can be represented in a graph. Then many cases arise, some of them are :-
Case 1 :- When the lines L1 and L2 intersect at a point.
Case 2 :- When the lines L1 and L2 are coincident. It means they have infinitely many common points.
Case 3 :- When the lines L1 and L2 are parallel. It means they do not have a common point and so the system has no solution that is non-consistent. If they have at least one solution then the system is consistent.
We can make a algorithm for the above mentioned method and cases by marking them step 1, 2 to 5 so that we can easily solve Simultaneous Equations by Graphing .
In upcoming posts we will discuss about Solving by Elimination Method and Isosceles Triangle. Visit our website for information on ICSE syllabus for business studies
The meaning of this is a pair of linear equation in two variables is said to form a system of simultaneous linear equation like
x + 2y = 3, 2x – y = 5
We can find Solution of Simultaneous Equations by Graphing with the following methods and cases they are:-
Solving Linear Equations
Method :- let the given system of linear equation be
a1 x + b1 y + c1 = 0
a2 x + b2 y + c2 = 0 (or try linear equations calculator)
On the same graph paper, we draw the graph of each one of the given linear equation. Each such graph is always a straight line. Let’s suppose we have two lines L1 and L2 that can be represented in a graph. Then many cases arise, some of them are :-
Case 1 :- When the lines L1 and L2 intersect at a point.
Case 2 :- When the lines L1 and L2 are coincident. It means they have infinitely many common points.
Case 3 :- When the lines L1 and L2 are parallel. It means they do not have a common point and so the system has no solution that is non-consistent. If they have at least one solution then the system is consistent.
We can make a algorithm for the above mentioned method and cases by marking them step 1, 2 to 5 so that we can easily solve Simultaneous Equations by Graphing .
In upcoming posts we will discuss about Solving by Elimination Method and Isosceles Triangle. Visit our website for information on ICSE syllabus for business studies
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