Question

The system of equations shown is solved using the linear combination method What does 0 = 0 mean regarding the solution to the system? There are no solutions to the system because the equations represent parallel lines. There are no solutions to the system because the equations represent the same line. There are infinitely many solutions to the system because the equations represent parallel lines. There are infinitely many solutions to the system because the equations represent the same line.

Answer 1

when ur variables cancel and ur left with a true statement...equal statements, such as 0 = 0 or 6 = 6, then u will have infinite solutions. So the answer to this is infinite solutions.

** now if u were left with 0 = 3 or 2 = -2....then there would be no solutions.
if u ended up with x = 7 or y = 5....a variable equal to a number, then there is 1 solution

Answer 2

Answer:

There are infinitely many solutions to the system because the equations represent the same line.

Step-by-step explanation:

When solving a system of equations, if we get an answer stating that one number is equal to itself, this statement is always true.  In our problem, there is never a time that 0 does not equal 0.  Since this statement is always true, this means the system has infinitely many solutions, and it means the equations must represent the same line (this is the only time a system has infinitely many solutions).