Question

I need help —30 POINTS—— 22.) Please!

Answer 1

Answer:

a.  there are sometimes infinitely many solutions to the system

b. will always have one solution

c.  There is never any solution for the system

Step-by-step explanation:

22a  If two lines have the same slope, they can either be parallel lines which never intersect and have no solution or the same line which have infinite solutions.  So  there are sometimes infinitely many solutions to the system depending on if they are the same line or are parallel lines

b  If the lines have different slopes, they will eventually intersect each other at a point, so they will always have one solution

c.  If the lines have the same slope and a different y intercept, they are parallel lines and will never intersect.  There are no solutions when they never intersect. There is never any solution for the system