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 = 6
x − 2y = −2

Answer 1

The given equations are

2x + y = 6 ....(i)

x − 2y = −2 ............(ii)

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

x	4	0
y	-2	6

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

x	4	6
y	3	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 = 2, y = 2.

Also, it is observed that the coordinates of the points where the lines (i) and (ii) meet the x-axis (3,0) and (-2, 0) are respectively.