Question 60144
Use either the substitution method or the elimination by addition method to solve the system, whichever seems more appropriate.
 
E1: 5x - 2y = 1
E2: 10x - 4y = 7
Elimination by addition makes more sense.
Multiply E1 by -2 and add E1+E2 to eliminate one of the variables.
E1:  -2(5x-2y)=-2(1)---> -10x+4y=-2
:
-10x+4y=-2
10x-4y=7
___________
0+0=5
0=5
Both variables were eliminated and 0 does not = 5, there is no solution.
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We call this an inconsistent-independent system.  Graphically it's two lines that are parallel and never intersect.
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Happy Calculating!!!