How to solve linear systems of graphing

I try making things easy for you by posting everyday, i am sure you must be making complete use of it. Well, the topic i have taken today is How to solve linear systems by graphing. Now that you have learn t what is a graph, uses of graph and the details on what is the different types of graphs, lets learn more like how to solve linear systems by graphing.

Linear equations are equations that when graphed on a coordinate plane form straight lines. A linear system is made up of two equations which when graphed will form two lines. Among the different methods of solving Linear equations, graphing is one among them. It is necessary to be familiar with the slope-intercept formula (y = mx + b) of graphing in order to use this method of finding solutions to linear systems. When both these equations are graphed by using the slope-intercept, you will be able to find the lines intersect on any point. If they do, you have found the solution. If the lines never cross, the equations in the system do not share a common solution. You can use graph to check if you have solved the linear equations correct too.


Isn't graphing an easy method of solving linear equations.

Well, i will explain this better with the help of an example:-

Draw the graph of y = x²– 4

Solution:

Mark the scales on the graph sheet on x-axis 1 cm = 1 unit and on y-axis 1 cm = 1units. Assigning values x = –3 to 3 we calculate the values for y and prepare the following table:

We plot the points (–3,5), (–2,0),(–1,–3), (0, –4), (1, –3), (2,0), (3,5) on the graph sheet. Join these points by a curve we get the required graph of the parabola y = x² – 4 in the figure.

x	-3	-2	-1	0	1	2	3
y=x2-4	5	0	-3	-4	-3	0	5

Now i am sure you will understand this by looking at the example. Let me know your views. I will post more and more valuable topics which will help you and if you have any specific topic, mention it and i will help you out.