Question 545941
you have two equations in your system:
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x - y = 7
9x = 9y + 4
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since these both describe straight lines, it is useful to convert them into standard slope-intercept form: y = mx + b:
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x - y = 7
y = x - 7
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9x = 9y + 4
y = x - 4/9
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in both, the slopes are m = 1; however, the y intercepts are different:
1st eqn: b = -7
2nd eqn: b = -4/9
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Is there a solution to this system?  No, there is no common point which solves both equations.  This is also the meaning of an inconsistent system of linear equations: there is no solution to the system.
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The graph would like two parallel lines with positive slope upwards to the right.
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cheers,
Lee