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 + 3y = 8
x − 2y = −3

Answer 1

The given equations are 

2x + 3y = 8 ..........(i)

x − 2y = −3 ..........(ii)

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

x	-2	7
y	4	-2

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

x	-1	3
y	1	3

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 (4,0) and (3,0) respectively.