One equation of a pair of dependent linear equations is -5x + 7y = 2. The second equation can be
Answers
Answer:
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Step-by-step explanation:
We have to find the dependent equation of above equation
We will check through options
Option A, 10x+14y+4=0
⇒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
⇒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
⇒−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
⇒−5x+7y=2
It is same as (1). So, it is a dependent equation of (1).
Answer:
To get the dependent linear equation, multiply the given equation by any non-zero integer.
Step-by-step explanation:
If we multiply the given equation by any non-zero integer a, we get
5ax – 7ay + 2a = 0
Hence, the second equation is given by 5ax – 7ay + 2a = 0, where a is any non-zero integer