setermine with out graphing if this has one solution, no solution or infinite number of solutions explain why x-y =3 3x + 3y = -3
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take the 3 out of the 2nd equation
x + y = -1
negative reciprocal slopes so yes perpendicular
product of slopes is -1
so one solution exists
i knew it :) kindof... maybe
intersect at only one point so only one solution exist. As these are straight lines so they cut only once.
1. If the slopes are the same then: A) if you can get one equation by multiplying the other equation by a constant, then they are the same line which means infinitely many solutions B) if the left hand sides are the same and the right hand sides are different then the lines are parallel which means no solution 2. otherwise if the slopes are different then they will intersect at one point