Question

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

3x + 2y = 12

5x – 2y = 4

Answer 1

The given equations are 

3x + 2y = 12 ........(i)

5x − 2y = 4 ..........(ii)

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

x	4	6
y	0	-3

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

x	3	2
y	5.5	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 = 2, y = 3.

Also, it is observed that the lines (i) and (ii) meet the y-axis at the points (0, 6) and (0, -2) respectively.