SOLUTION: For the system of linear equations: x + 2y = 6 x + ay = a + b a) Determine the values of a and b for which the system has: i) no solution ii) infinitely many solutions

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Question 347214: For the system of linear equations:
x + 2y = 6
x + ay = a + b
a) Determine the values of a and b for which the system has:
i) no solution
ii) infinitely many solutions
iii) exactly on solution
b) In case ii) above, give the general solution of the system.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
a)When a=2 and b=4, the lines are identical and will have infinitely many solutions.
When a=2 and b%3C%3E4, the line are parallel and will have no solution.
For all other values of a and b, the lines will have a unique solution.
.
.
.
b) x%2B2y=6
2y=-x%2B6
highlight%28y=-%28x%2B6%29%2F2%29