Which answer will create a system with infinitely many solutions

A) -10

Step-by-step explanation:

-10

Step-by-step explanation:

First, lets convert each equatoin to the same form

2y - 4x = ?

becomes

2y = 4x + ?

Now, the equations are

y = 2x - 5

2y = 4x + ?

When they are lined up like this, we can see that the second equation is the same as the first, except the values are doubled. As long as "?" equals - 5 * 2, the equations will be equal, therefore offering infinitely many solutions.

-5 * 2 = -10

So, the blank space is -10.

To check, let's solve using elimination.

y = 2x - 5(-2)

2y = 4x - 10

-2y = -4x + 10

2y = 4x - 10

If we add the two equations together, they will equal 0. This confirms that the missing value is -10.