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Determine if the following system of equations has no solutions, infinitely many
solutions or exactly one solution.
x + y = 2
–5x - 5y = -10

Respuesta :

Step-by-step explanation:

The usual thing to do is to try to get rid of one variable first. So to get rid of x, we multiply the first equation by 5.

5(x + y) = 2(5)

-5x - 5y = -10

---> 5x + 5y = 10

-5x - 5y = -10

---> 0 = 0

As you can see, everything cancels out. If the statement is true, then it is infinitely many solutions.

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