Question

Represent the following pair of equations graphically and write the coordinates of points where the lines intersect y-axis.

x + 3y = 6
2x − 3y = 12

Answer 1

The given equations are

x + 3y = 6  ...(i)

2x − 3y = 12 .......(ii)

Putting x = 0 in equation (i) we get

`=> 0 + 3y = 6`

`=> y = 2`

x = 0, y = 2

Putting y = 0 in equation (i) we get

`=> x + 3 x 0 = 6`

=>x = 6

x = 6, y = 0

Use the following table to draw the graph.

x	0	6
y	2	0

The graph of (i) can be obtained by plotting the two points A(0,2), B(6,0)

2x - 3y = 12 .........(ii)

Putting x = 0 in eqaution (ii) we get

`=> 2 xx 0 - 3y = 12`

`=> y = -4`

x = 0, y = -4

Putting y = 0 in equation (ii) we get

`=> 2x - 3 xx 0 = 12`

`=> x = 6`

x = 6, y = 0

Use the following table to draw the graph.

x	0	6
y	-4	0

Draw the graph by plotting the two points C(0,-4), D(6,0) form table

Graph of lines represented by the equations x + 3y = 6, 2x - 3y = 12  meet y−axis at A(0,2), C(0, -4) respectively.