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.

x + 2y − 7 = 0,

2x − y − 4 = 0

Answer 1

The given equations are 

x + 2y − 7 = 0  ..............(i)

2x − y − 4 = 0  ...............(ii)

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

x	5	7
y	1	0

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

x	2	1
y	0	-2

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 = 2.

Also, it is observed that the lines (i) and (ii) meet the y-axis at the points (0,3.5) and (0, -4) respectively.