Question -
Answer -
(i) 2x – 3y = 6, x + y = 1
2x – 3y = 6
=> 2x = 6 + 3y
=> x =
Substituting some different values of y, we get their coiTesponding values of x show below
Now plot the points and join them
x + y = 1 => x = 1 – y
Substituting some different of y, we get their corresponding value of x as given below
Now plot the points on the graph and join them we see that the lines intersect at a point
This system has a unique solution.
(ii) 2y = 4x – 6, 2x = y + 3
2y = 4x – 6
y =
= 2x – 3Substituting some different values of x, we get their corresponding values of y as shown below
Now plot the points on the graph and join them
2x = y + 3
x =
Substituting some different values of y, we get their corresponding values of x as shown below
Plot the points on the graph and join them We see the lines coinside each other
This system has no unique solution.