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.

 x + 2y = 5
2x − 3y = −4

Answer 1

The given equations are 

 x + 2y = 5 .............(i)

2x − 3y = −4 ..............(ii)

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

x	0	-1
y	2.5	3

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

x	4	-5
y	4	-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 = 1, y = 2.

Also, it is observed that the coordinates of the points where the lines (i) and (ii) meet the x-axis are (5,0) and (-2,0) respectively.