Asystem of equations has infinitely many solutions. if 2y – 4x = 6 is one of the equations, which could be the other equation?
a. y = 2x + 6
b. y = 4x + 6
c. –y = –2x – 3
d. –y = –4x + 6

Option C -

Step-by-step explanation:

Given : A system of equations has infinitely many solutions. If is one of the equations.

To find : Which could be the other equation?

Solution :

A system of equations has infinitely many solutions when the two lines representing the equations coincide.

i.e. the two equations are the same or a multiple of each other.

We have given the equation,

Taking 2 common from equation,

or

Take negative both side,

The other equation is  

Therefore, option C is correct.