Solve using addition. If a unique solution does not exist, state whether the system is inconsistent or?

Question

or dependant.
-x+y=3
x+y=5

Answer 1

Add the two together (x and -x will cancel):
-x + y = 3
x + y = 5
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..... 2y = 8

y = 8/2
y = 4

x + y = 5
x + (4) = 5
x = 5-4
x = 1

So the values are x = 1, y = 4