Answer :

6x – 8y = 2 …(1)

3x – 4y = 1 …(2)


Let us express the equations (1) and (2) in the form of


ax + by +c = 0 where a and b can’t be 0 at the same time.


[In the first equation, we use a1, b1, c1 and in second equation, we use a2, b2, c2 ]


6x – 8y = 2 3x – 4y = 1


6x + (-8y) + (-2) = 0 3x + (-4y) + (-1) = 0


Or 6 × x + (-8) × y + (-2) = 0 or, 3 × x + (-4) × y + (-1) = 0


Here a1 = 6, b1 = -8, c1 = -2 and a2 = 3, b2 = -4, c2 = -1


Comparing the ratio of , we get


, and


Here . Therefore, it has infinite common solutions. Graph of equations will overlap.


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