Which value, when placed in the box, would result in a system of equations with infinitly many solutions? Y=2x - 5 2y-4x=

Given:

The system of equations is

To find:

The missing value for which the given system of equations have infinitely many solutions.

Solution:

Let the missing value be k.

We have,

Taking all the terms on the left side, the given equations can be rewritten as

The system of equations and have infinitely many solutions if

We have,

Now,

On cross multiplication, we get

Therefore, the missing value is -10.

boxplot e is the answer