4. Check whether given pair of equations are dependent. Give reasons 2x-3y-1 = 0, 4x-6y-2=0?​

Answers 2

Answer:

yes the equation is dependent

Step-by-step explanation:

This 2x-3y-1=0,4x-6y-2=0

this equation is consistent and dependent

As it is equal

Hope my answer is helpful

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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.

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