Check graphically whether the pair of …
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Posted by Mohit Kakkar 5 years, 9 months ago
- 3 answers
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Gaurav Seth 5 years, 9 months ago
The given equations is
x+3y=6.......(i)
2x-3y=12....(ii)
Now, from equation (i)
If x= 0, then
0+3y=6
3y=6
y=6/3
y=2
(x,y) =(0,2)...(I)
and when y=0 , then
x+0=6
x=6
(x,y) =(6,0)........(II)
Now,
from equation (ii),
If x= 0, then
0-3y=12
y=-4
(x,y)=(0,-4)...............(III)
and
if y=0
2x-0=12
x=6
(x,y) = (6,0)............(IV)
Mark these points (I), (II) , (III) & (IV) on graph as shown below:
thus, x + 3y = 6 intersects y–axis at (0, 2) and
2x – 3y = 12 intersects y–axis at (0, – 4).
2Thank You