Question 258795: determine if the following system of equations is independent, dependent, or inconsistent:
-7x -5y = -4
-35x -25y =13
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! determine if the following system of equations is independent, dependent, or inconsistent:
-7x -5y = -4
-35x -25y =13
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Multiply thru the 1st equation by 5 to get:
-35x - 25y = -20
-35x - 25y = 13
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Subtract the 1st from the 2nd to get:
0 = 33
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That is a contraction which resulted because we assumed
the x and the y variable stood for the same numbers in
the two equations.
They do not, so the system of equations is inconsistent.
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If you graphed the two equations you would see the lines
are parallel; they do not share a point.
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Cheers,
Stan H.
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