How do you solve the system of equations by graphing and then classify the system as consistent or inconsistent $2x – 3y = 7$ and $8x – 12y = 5$ ?

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Answer 1 · 2016-03-21T03:41:31

The two lines are parallel. They are inconsistent

Given -

$2x-3y=7$
$8x-12y=5$

The slope of the two lines are the same -

$m_1=2/(-3)$
$m_2=8/(-12)=2/(-3)$
Hence they are inconsistent.

Refer the picture

How do you solve the system of equations by graphing and then classify the system as consistent or inconsistent 2x – 3y = 72x – 3y = 7 and 8x – 12y = 58x – 12y = 5?