Question

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

2x – 5y + 4 = 0

2x + y – 8 = 0

Answer 1

The given equations are 

2x − 5y + 4 = 0 .............(i)

2x + y − 8 = 0 ..........(ii)

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

x	-2	8
y	0	4

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

x	4	2
y	0	4

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, 4/5)` and (0, 8) respectively.