y= 1/2x + 5/2 (a)
x - 2y= 7 (b)
First, isolate y on (b)
-2y = -x + 7
y = (-x + 7 ) / -2
y= 1/2x - 7/2
Subtract (b) to (a)
y = 1/2x + 5/2
-
y = 1/2x - 7/2
___________
0 = 0 + 6
0= 6
Since 0 is not equal to 6, the system has NO SOLUTIONS.
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