Chapter I : Linear Equations in two variables in two variables

Graphical solution of system of linear equations:

Example 10. Solve graphically the system of equations:

Solution: To draw the graphic of equations (1) and (2) we find three solutions of each of the equations (1) and (2)

Or,

 

x	1	-2	4
y	-1	-3	1

Now we plot the print (1, -1) (-2, -3) and (4, 1). After joining we get a straight line.

And 3x + 4y + 1 = 0

x	1	-3	5
y	-1	2	-4

Again we plot the point (1, -1), (-3, 2) and ((5, -4) on the same graph paper and join then.

Now, we get see that the lines of these two equations intersect at (1, -1).
. Is the solution of the system of equations.