If one equation of a pair of dependent linear equations is 5x – 7y + 2 = 0, then the second equation is given by _______.

Open in App

Solution

To get the dependent linear equation, multiply the given equation by any non-zero integer.

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.

Suggest Corrections

Similar questions

Q. One equation of a pair of dependent linear equations is

- 5 x + 7 y = 2

. The second equation can be

Q. One equation of a pair of dependent linear equations is

x + y = 30

. The second equation can be

Question 9
One equation of a pair of dependent linear equations is - 5x + 7y – 2 = 0
(A) 10x + 14y + 4 = 0
(B) –10x – 14y + 4 = 0
(C) –10x + 14y + 4 = 0
(D) 10x – 14y = –4

Q. The pair of linear equations

y = - \frac{3}{2} - \frac{x}{2}; x = - 3 - 2 y

are a pair of dependent equations

Q. If the equation

x^{2} + k x y + y^{2} - 5 x - 7 y + 6 = 0

represents a pair of straight lines, then value of

k

Join BYJU'S Learning Program

If one equation of a pair of dependent linear equations is 5x – 7y + 2 = 0, then the second equation is given by _______.

To get the dependent linear equation, multiply the given equation by any non-zero integer. 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.

To get the dependent linear equation, multiply the given equation by any non-zero integer.

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.