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It is possible for a system of linear equations to have no solutions.
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Yes
yes
beat me to it...take it away la-mrc
If both equations result in parallel lines, then no solution.
If the equations are parallel, but not the same line, they will never intersect and therefore have no solutions.
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lines are parallel (ie have the same slope)
When working these type of problems, if you lose you variable and end up with a false statement, like "4 = 7", then no solution.
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