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Solving by elimination
2x+-y= 3
-2x+5y= 7
10x-5y= 15
-2x+5y= 7
8x = 22
x = 22/8 = 11/4 and y = 5/2 y = (11/2 - 6/2)
Ordered pair(11/4,5/2) is the solution for this system
CHECKING our Answer***
-2x+5y= 7
-11/2 + 25/2 = 14/2 = 7