Given: Here we have given two equations 2x-3y-1 = 0, 4x-6y-2=0
To find: we have to check whether given pair of equations are dependent.
Solution:
Here we have the equations
2x-3y-1 = 0
4x-6y-2=0
From the above two equations
[tex]\dfrac{a_1}{a_2} =\dfrac{2}{4} =\dfrac{1}{2} \\\dfrac{b_1}{b_2} =\dfrac{3}{6} =\dfrac{1}{2}\\\dfrac{c_1}{c_2} =\dfrac{-1}{-2} =\dfrac{1}{2}\\[/tex]
Here we get,
[tex]\dfrac{a_1}{a_2} =\dfrac{b_1}{b_2} =\dfrac{c_1}{c_2}=\dfrac{1}{2}\\[/tex]
Hence the above two equations are equal and they are dependent.