Check my answer?
Which best describes a system of equations that has no solution?
1. Consistent, independent
2. Inconsistent, dependent
3. inconsistant *
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jimthompson5910 (jim_thompson5910):
you picked choice 3. inconsistent right?
OpenStudy (anonymous):
Yes
jimthompson5910 (jim_thompson5910):
you are correct
OpenStudy (anonymous):
Care to check a few more?
jimthompson5910 (jim_thompson5910):
sure
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OpenStudy (anonymous):
How many solutions does this system have?
2x+y=3
6x=9-3y
I think it is infinite but you have 1, none, infinite or 2
OpenStudy (anonymous):
@jim_thompson5910
jimthompson5910 (jim_thompson5910):
why do you think it's infinite?
jimthompson5910 (jim_thompson5910):
you are correct, hopefully you see how you're correct
OpenStudy (anonymous):
I do. I figured that was it because the other 3 were illogical. Thanks for the help!
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jimthompson5910 (jim_thompson5910):
another way is to solve each for y
2x+y=3
y=3-2x
y = -2x + 3
OpenStudy (anonymous):
Thanks!
jimthompson5910 (jim_thompson5910):
6x=9-3y
6x-9=-3y
-3y = 6x - 9
y = (6x - 9)/(-3)
y = (6x)/(-3) - 9/(-3)
y = -2x + 3
so they are in fact the same line