SOLUTION: Find the values of m and a such that these equations have infinite solution sets. (i) 4x+my=a 2x+y=4

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Question 155035: Find the values of m and a such that these equations have infinite solution sets.
(i) 4x+my=a
2x+y=4
Answer by nabla(475) About Me  (Show Source):
You can put this solution on YOUR website!
The same line always intersects itself.
Force the 1st equation into similarity with the second:
2x+(m/2)y=a/2
2x+y=4

THUS, we want m/2=1 and a/2=4
So m=2, a=8.