10th Class Mathematics Pair of Linear Equations in Two Variables Question Bank MCQs - Pair of Linear Equations in Two Variables

If one equation of a pair of dependent linear equations is \[\text{5x}-\text{7y}+\text{2}=0,\] then the second equation is given by:

A) \[5kx-7ky+2k=0\]

B) \[5kx+7ky+2k=0\]

C) \[5kx-7ky-2k=0\]

D) \[2kx-7ky+5k=0\]

Correct Answer: A

Solution :

[a] Given, one equation of a pair of dependent linear equation is \[5x-7y+2=0,\]then second equation is coincident of it.

\[\therefore \,\,\,\,\,\,\,\,\,\,\,\,\,\,k(5x-7y+2)=0\]

\[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,5kx-7ky+2k=0\]

where, k is any arbitrary number.