Question 990930

{{{x-y=1}}}
{{{5x=2y+17}}}
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{{{x-y=1}}}
{{{5x-2y=17}}}
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if lines are parallel, there are no solutions, and the system is called inconsistent 

if both lines are the same line, and they 'cross' at infinitely many points (every point on the line), there are infinitely many solutions and the system is called dependent 

your system:

*[invoke solving_linear_system_by_elimination 1, -1, 1, 5, -2, 17]


in your case we have one intersection point and system is neither inconsistent nor dependent