SOLUTION: Could you please use this as an example to solve each system by substitution method and tell if the equations are independent, dependent or inconsistent? Thank you. 2x-y=4 2

Question 137177This question is from textbook Elementary and Intermediate Algebra
: Could you please use this as an example to solve each system by substitution method and tell if the equations are independent, dependent or inconsistent?
Thank you.
2x-y=4
2x-y=3 This question is from textbook Elementary and Intermediate Algebra

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Could you please use this as an example to solve each system by substitution method and tell if the equations are independent, dependent or inconsistent?
Thank you.
2x-y=4
2x-y=3
------------
Solve the 1st equation for y to get: y = 2x-4
Substitute that into the 2nd equation to solve for "x":
2x-(2x-4) = 3
4 = 3
--------
This is a contradiction that arose we assumed the x in the equations
was the same and we assumed the y in the equations was the same.
----------
They are not; the system is inconsistent.
================
cheers,
Stan H.

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