Question

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

 2x + y − 11 = 0, 

x − y − 1 = 0

Answer 1

The given equations are 

 2x + y − 11 = 0 ..........(i)

x − y − 1 = 0 ...............(ii)

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

x	3	1
y	5	9

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

x	1	5
y	0	4

Now, a 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 = 4, y = 3.

Also, it is observed that the lines (i) and (ii) meet the y-axis at the points (0,11) and (0, -1) respectively.