Graph each system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If the system has one solution, name it.

y=x+2

x-y=-2

y = x + 2

x - y = - 2

x - y = - 2 ................1

x - y = - 2 ...............2

Now multiply first equation by - 1 and adding them, we get

- x + y = 2

x - y = - 2--------------

0 + 0 = 0

0 = 0

Now this statement is true so the system has an infinite number of solutions.

Graph

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