Answer:
They are consistent and independent
Explanation:
Consistency
If two lines have an intersection point, they are said to be consistent. For example, two parallel lines do not have an intersection and therefore they are inconsistent.
In the problem, the two lines intersect at (1, -2) so they have a unique solution and therefore consistent.
Dependency
Two lines are said to be independent if one of them cannot be written as an integer multiple of the other. Or, in other words, if the slope-intercept form of both equations have different slope and y intercept
Note: slope-intercept form of an equation is y = mx + c where m is the slope and c the y intercept
Line 1: 5x - y = 7 can be written as y = 5x - 7 which has slope +5 and y intercept -7
Line2 : 5x + 6y = -7 can be re-written as y = (-5/6)x - (7/6). This has slope -5/6 and y intercept -7/6
Since slope and intercepts of both lines are different they form a system of independent equations