Question

3. Two lines or equations are described in each part. Decide whether each system has one solution, no solution, or infinitely many solutions. Show your work or explain your reasoning.
(a) Line a has a rate of change of 7.
Line b has a rate of change of -7



(b)2x+3y=5.5
4x+6y+11




(c) Line c and line d are parallel

Answer 1

A)  slope is 7 for 1 and -7 for the other.  These lines intersect in 1 point only

b) both equations have slope -2/3 and the same intercept, so it is really only one line...infinite solutions

c) parallel lines have 0 solutions

Answer 2

A) One Solution
B) Infinite Solutions
C) No Solutions