Question

Mr. Brown is creating examples of systems of equations. He completes the steps to find the solution of the equation below.

Answer 1

Answer:

Option D.

Step-by-step explanation:

The given system of equations is

$5x+2y=8$    ...(1)

$-4(1.25x+0.5y=2)$      ...(2)

On simplifying the second equation, we get

$-5x-2y=-8$

On dividing by -1, we get

$5x+2y=8$       ...(3)

It is clear that equation (1) and (3) are same equations. It means equation (1) and (2) represent the equivalent equation.

So, the given system of equations has infinitely many solutions.

Therefore, the correct option is D.