Hope this helps !
21 is the answer for that
Consistent means there are intersections
Inconsistent means no intersections
parallel lines never intersect so
Since there is one solution ( the lines intersect), the equations are consistent
They would be inconsistent if the lines do not intersect
The would be equivalent if they are the same line
Consistent: At least one solution.
It happens when two lines connect at some point. Ex: Perpendicular lines
Equivalent: Infinity many solution.
It happens when two lines overlap.
Inconsistent: No Solution.
It happens when two lines don't connect or overlap. Ex: Parallel lines.
//Hope this helps.
The lines are parallel and thus won't touch. That means they are inconsistent
The answer would be consistent.
In the graph shown here, there is only one solution
because the lines intersect at the point (5, 3).
In order for the lines to be inconsistent, the lines would have to not
meet or intersect each other but notice that this is not the case here.
The would be equivalent if they are the same exact line
so it would look like there would just be one line.
this is an inconsistent because no solutions