One equation of a pair of dependent linear equations is $− 5 x + 7 y = 2$ . The second equation can be

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

10 x − 14 y = − 4

− 10 x + 14 y + 4 = 0

− 10 x − 14 y + 4 = 0

10 x + 14 y + 4 = 0

answer is A.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Given that one equation of a pair of dependent linear equations is

− 5 x + 7 y = 2

.
We know that pair of linear equations of two variables with

x

and y as a variable is represented as

a 1 x + b 1 y + c 1 = 0

and

a 2 x + b 2 y + c 2 = 0, where

a 1, a 2, b 1, b 2, c 1, c 2

are constants.
Compare the ratios

a 1 a 2, b 1 b 2

and

c 1 c 2

, to find the graph of a pair of linear equations either intersect at a point, are parallel or coincident.
Also, if the coefficients of both equations are multiples of each other, the equations are linearly dependent.
So, in the option (1), the equation