SOLUTION: To Whomever can assist, Thank you! I need to use either the substitution method or the elimination by addition method to solve the system, whichever seems more appropriate. 5x

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: To Whomever can assist, Thank you! I need to use either the substitution method or the elimination by addition method to solve the system, whichever seems more appropriate. 5x      Log On


   

Question 60144This question is from textbook Elementary and Intermediate Algebra
: To Whomever can assist, Thank you!
I need to use either the substitution method or the elimination by addition method to solve the system, whichever seems more appropriate.

5x - 2y = 1
10x - 4y = 7 This question is from textbook Elementary and Intermediate Algebra

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Use either the substitution method or the elimination by addition method to solve the system, whichever seems more appropriate.

E1: 5x - 2y = 1
E2: 10x - 4y = 7
Elimination by addition makes more sense.
Multiply E1 by -2 and add E1+E2 to eliminate one of the variables.
E1: -2(5x-2y)=-2(1)---> -10x+4y=-2
:
-10x+4y=-2
10x-4y=7
___________
0+0=5
0=5
Both variables were eliminated and 0 does not = 5, there is no solution.
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We call this an inconsistent-independent system. Graphically it's two lines that are parallel and never intersect.
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Happy Calculating!!!