Question

Solve graphically each of the following systems of linear equations. Also, find the coordinates of the points where the lines meet the axis of x in each system.

2x − y = 2
4x − y = 8

Answer 1

The given equations are 

2x − y = 2  .............(i)

4x − y = 8 .............(ii)

The two points satisfying (i) can be listed in a table as,

x	0	2
y	2	2

The two points satisfying (ii) can be listed in a table as,

x	1	3
y	-4	4

Now, the graph of equations (i) and (ii) can be drawn as,

It is seen that the solution of the given system of equations is given by x = 3, y = 4.

Also, it is observed that the coordinates of the points where the lines (i) and (ii) meet the x-axis are (1,0) and (2, 0) respectively.