Homework Help: math

Posted by NATASHA on Tuesday, June 21, 2011 at 2:03pm.

Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.
-15r + 12s = 24
30r – 24s = 48

math - Reiny, Tuesday, June 21, 2011 at 3:07pm
did you notice the slope of the first line is 15/12 or 5/4
the slope of the second is 30/24 = 5/4
So the two lines are parallel.
Notice by multiplying the first by -2 we would get
30r - 24s = -48
since the constants are different, we have 2 different parallel line, which cannot intersect
So no solution.

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