SOLUTION: Without graphing. Classify the system as independent, dependent, or inconsistent {25y-5x=30 15y= 3x-18

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons  -> Linear Equations Lesson -> SOLUTION: Without graphing. Classify the system as independent, dependent, or inconsistent {25y-5x=30 15y= 3x-18      Log On


   

Question 1049975: Without graphing. Classify the system as independent, dependent, or inconsistent
{25y-5x=30
15y= 3x-18
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

25y-5x=30.............simplify, both sides divide by 5
15y=+3x-18............simplify, both sides divide by 3
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5y-x=6
5y=+x-6
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5y=x%2B6
5y=+x-6
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y=%281%2F5%29x%2B6%2F5
y=+%281%2F5%29x-6%2F5
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both lines have same slope m=%281%2F5%29 which means lines are parallel and never intersect; so, there is no solution or system is inconsistent