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A system of two linear equations has an infinite number of solutions. A third equation, which is the sum of the other two equations, is introduced to the new system.

Which statement or statements describe the solutions to the new system?

I. The new system has no solutions.

II. The new system has exactly one solution.

III. The new system has infinitely many solutions.

A. I only

B. I or II

C. III only

D. I, II, or III

Respuesta :

MrsStrong

Answer:

C

Step-by-step explanation:

If the first two lines have infinitely many solutions, this means algebraically its the same line just scaled up. Adding the equations together will only scale it up more. Therefore it will still graph the same line and will continue to have infinitely many solutions.

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