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

2x − y − 5 = 0,

x − y − 3 = 0

Answer 1

The given equations are

2x − y − 5 = 0 ......(i)

x − y − 3 = 0 ..........(ii)

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

x	1	3
y	-3	1

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

x	1	5
y	-2	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 = 2, y = −1.

Also, it is observed that the lines (i) and (ii) meet the y-axis at the points (0,-3) and (0, -5) respectively.