# 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?

Mar 21, 2016

The two lines are parallel. They are inconsistent

#### Explanation:

Given -

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

The slope of the two lines are the same -

${m}_{1} = \frac{2}{- 3}$
${m}_{2} = \frac{8}{- 12} = \frac{2}{- 3}$
Hence they are inconsistent.