Question

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

• A. $10x+14y+4=0$
• B. $-10x-14y+4=0$
• C. $-10x+14y+4=0$
• D. $10x-14y=-4$

Answer 1

The correct option is D $10x-14y=-4$

Given equation is
$-5x+7y=2$ .....(1)
We have to find the dependent equation of above equation
We will check through options
Option A, $10x+14y+4=0$
$\Rightarrow 5x+7y=-2$
It cannot be written exactly as eq(1). So, it is not a dependent equation of (1).
Option B, $-10x-14y+4=0$
$\Rightarrow 5x+7y=2$
It cannot be written exactly as eq(1). So, it is not a dependent equation of (1).
Option C, $-10x+14y+4=0$
$\Rightarrow -5x+7y=-2$
It cannot be written exactly as eq(1). So, it is not a dependent equation of (1).
Option D, $10x-14y=-4$
$\Rightarrow -5x+7y=2$
It is same as (1). So, it is a dependent equation of (1).