Choose the best description of the system.

Anonymous
timer Asked: Jul 29th, 2014
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Question Description

{5x-3y=6

{-20x+12y=-21

Select all that apply. (a) consistent  (b) inconsistent  (c) independent  (d) dependent

Tutor Answer

Prashant S
School: UCLA

For reference: Inconsistent is when no intersection no solution occurs, Consistent is when we have a solution, independent is when there is one solution, dependent is when we have infinite solutions and the two equations are the same line. 

First add 4 times the first eqn to the 2nd. We obtain: 0x+0y=3

Since 0 cannot equal 3. It is likely the equations are parallel. Ignore the constants on the right. We see that Eqn2=4Eqn1 (ignoring the constants)...this means the lines have the same slope. The constants on the right are different so this means that the lines are NOT the same line. 

Lines that are parallel and not the same line will not intersect and have 0 solutions. Therefore the system is inconsistent (A).

When we graph them we see that they are indeed parallel. Graph 2.PNG

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Review

Anonymous
Tutor went the extra mile to help me with this essay. Citations were a bit shaky but I appreciated how well he handled APA styles and how ok he was to change them even though I didnt specify. Got a B+ which is believable and acceptable.

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