SOLUTION: determine if the following system of equations is independent, dependent, or inconsistent: -7x -5y = -4 -35x -25y =13

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
-----------------------
Multiply thru the 1st equation by 5 to get:
-35x - 25y = -20
-35x - 25y = 13
--------------------------
Subtract the 1st from the 2nd to get:
0 = 33
---
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.
===================
If you graphed the two equations you would see the lines
are parallel; they do not share a point.
===================
Cheers,
Stan H.
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