Finding Solution of Simultaneous Equations by Graphing

Posted on February 27, 2012. Filed under: Uncategorized | Tags: , , |

Hello students, Previously we have discussed about irrational numbers examples and in this session we are going to know about Finding Solution Of Simultaneous Equations By Graphing. The method or procedure of solving a system of simultaneous linear equation of two variables by drawing their graphs is known as the graphical method. We know that the graphical representation of a linear equation in two variables is a straight line such that every point on the line represents a solution of the equation and every solution of the equation is represented by a point on the line.

Thus if there is a system of simultaneous linear equation in two variables such that the line representing the equation intersect at a point P ( a, b ). clearly the point P lies on both the lines, so its coordinates will satisfy the both the equation in the system. Thus x = a, y = b is the solution of the given system of equation.(Know more about Simultaneous Equations in broad manner, here,)

We may use the following algorithm for the Solution of Simultaneous Equations by Graphing for two variables :-

Algorithm :-

Step 1:- Obtain the given system of simultaneous linear equation in x and y.

let the system of simultaneous linear equation be

a1x + b1y = c1…………….1

a2x + b2y = c2…………….2

Step 2 :- draw the graph of the equation 1 and 2 in step 1.

then lines L1 and L2 will represents the graphs.

Step 3 :- If the lines L1 and L2intersect at a point and ( a, b ) are the coordinates of this points, then the given system has a unique solution given by x = a, y = b, otherwise go to step 4.

Step 4 :- If the lines L1 and L2are coincident, then the system is consistent and has infinitely many solution. In this case, every solution of one of the equation is a solution of the system, otherwise go to step 5.

Step 5 :- If the lines L1 and L2are parallel, then the given system of equation is in- consistent that is it has no solution.

In the next session we are going to discuss about Two Step Linear Equation and You can visit our website for getting information about math word problem solver and cbse sample papers 2011 class ix.


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