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
Answer:
14.5
Step-by-step explanation:
You would plug 5 into the equation for m and have w = 1.5 (5) + 7
Then you would multiply 1.5 and 5 and get 7.5 and then add 7 and get 14.5
-3(x-5)=45
distribute
-3x+15 = 45
subtract 15 from each side
-3x = 30
divide by -3
x = -10
17/35 is the Simplest form.
Answer:
(16a + 6b) (2x - 3y)
Step-by-step explanation:
32ax + 12bx - 48ay - 18by
(32ax - 48ay) + (12bx - 18by)
16a(2x - 3y) + 6b(2x - 3y) Factor out in both seperate expressions
(16a + 6b) (2x - 3y) Double factoring
