which value, when placed in the box, would result in a system of equations with infinitely many…

which value, when placed in the box, would result in a system of equations with infinitely many solutions?\ny = 2x - 5\n2y - 4x = □\n-10\n-5\n5\n10

which value, when placed in the box, would result in a system of equations with infinitely many solutions?\ny = 2x - 5\n2y - 4x = □\n-10\n-5\n5\n10

Answer

Answer:

A. -10

Explanation:

Step1: Rewrite first equation

Starting with $y = 2x-5$, multiply both sides by 2: $2y=4x - 10$.

Step2: Rearrange to match second - form

Subtract $4x$ from both sides: $2y-4x=-10$. For a system of linear equations $y = 2x - 5$ and $2y-4x=\square$ to have infinitely many solutions, the two equations must be equivalent. So the value in the box should be - 10.