Part 1) option D) No solutions
Part 2) option C
Part 3) option E
Step-by-step explanation:
Part 1) we have
-------> equation A
-------> equation B
Divide the equation B by both sides
-------->
Equation A and equation B represent a parallel lines, because their have the same slope
therefore
The system of equation does not have solution
Part 2) we have Â
-------> equation A
-------> equation B
Multiply the equation A by both sides
-------> -------> equation C
Multiply the equation B by both sides
------> ------> equation D
Adds equation C and equation D
Part 3) we have
-------> inequality A
-------> inequality B
we know that
If a point lie in the solution set of the system of inequalities, then the point must be satisfy the inequalities of the system
a) point
Verify inequality A
 -------> is true
Verify inequality B
-----> is not true
therefore
the point  does not lie in the solution set of the system of inequalities
b) point
Verify inequality A
 -------> is not true
therefore
the point  does not lie in the solution set of the system of inequalities
c) point
Verify inequality A
 -------> is true
Verify inequality B
-----> is true
therefore
the point lies in the solution set of the system of inequalities
d) point
Verify inequality A
 -------> is not true
therefore
the point does not lie in the solution set of the system of inequalities