SOLUTION: solve the system of the equations by graphing than classify the system 2x-y=8 2x+3y=0 what is the solution of the system is the system consistent or inconsistent is the system

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Question 326325: solve the system of the equations by graphing than classify the system
2x-y=8
2x+3y=0
what is the solution of the system
is the system consistent or inconsistent
is the system dependent or independent
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
2x-y=8
y=2x-8
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2x%2B3y=0
3y=-2x
y=-%282%2F3%29x
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Looks like (3,-2) is a solution.
Verify by using both equations.
2x-y=8
2%283%29-%28-2%29=8
6%2B2=8
8=8
TRUE
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2x%2B3y=0
2%283%29%2B3%28-2%29=0
6-6=0
TRUE
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There is one solution so the system is consistent and independent.