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Mathematics 8 Online
OpenStudy (anonymous):

What type of system of linear equations is this? y = –5x – 4 A. consistent and independent B. consistent and dependent C. inconsistent D. independent and inconsistent

jimthompson5910 (jim_thompson5910):

the other equation is missing

OpenStudy (anonymous):

y=1/2x+3

jimthompson5910 (jim_thompson5910):

what are the slopes of each equation?

OpenStudy (anonymous):

1/2 and -5

jimthompson5910 (jim_thompson5910):

good, so because the slopes are different, the two lines must intersect somewhere (unequal slopes means that the lines are NOT parallel)

jimthompson5910 (jim_thompson5910):

what does that mean in terms of (in)consistent equations and (in)dependent equations?

OpenStudy (anonymous):

I figured it out, thanks.

jimthompson5910 (jim_thompson5910):

what did you get

OpenStudy (anonymous):

Consistant and dependent.

jimthompson5910 (jim_thompson5910):

close

jimthompson5910 (jim_thompson5910):

if the two equations were dependent, then they would be the same equation, which would mean they would have to have the same slopes

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