algebra

solve using the eliminatin method. show your work. if the system has no solution or an infinite number of solutions,state this x+y=10 x-y=2

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1. Eq1: X + Y = 10.
Eq2: X - Y = 2.
Sum: 2X = 12,
X = 6.

In Eq1, substitute 6 for X:
6 + Y = 10,
Y = 10 - 6 = 4.

Solution Set = (X,Y) = (6,4).

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