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

which value, when placed in the box, would result in a system of equations with infinitely many solutions? y = 2x - 5 2y - 4x = □ -10 -5 5 10

which value, when placed in the box, would result in a system of equations with infinitely many solutions? y = 2x - 5 2y - 4x = □ -10 -5 5 10

Answer

Explanation:

Step1: Rearrange the first - equation

Given $y = 2x-5$, we can rewrite it as $-2x + y=-5$. Multiply this equation by 2 to get $-4x + 2y=-10$ or $2y-4x=-10$.

Step2: Analyze the second - equation

The second equation is $2y - 4x=\square$. For a system of linear equations to have infinitely many solutions, the two equations must be equivalent. Since $2y-4x=-10$ from the first - equation manipulation, the value in the box should be $-10$.

Answer:

A. -10