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OpenStudy (cloverracer):
How many solutions does this system have?
4x + 16y = 12 ; y = -1/4x + 9/12
a) one
b) two
c) infinitely many
d) none
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OpenStudy (anonymous):
c) infinitely many
OpenStudy (anonymous):
well what kind of lines do they make?
OpenStudy (cloverracer):
how do you know?
OpenStudy (anonymous):
first of all
a solution to the system means an intersection
OpenStudy (anonymous):
parallel lines
will they have an intersection?
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OpenStudy (cloverracer):
no
OpenStudy (anonymous):
Since both equation are not different...If you rearrange 1st equation you get the second one...
OpenStudy (ranga):
Follow mth3v4.
OpenStudy (anonymous):
therefore no solution
next
if they have the
same y intercept
and same slope
OpenStudy (cloverracer):
so the answer would be B?
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OpenStudy (ranga):
Those two equations are parallel lines. They will not intersect. Therefore, no solution.
OpenStudy (anonymous):
:)
OpenStudy (ranga):
Answer is d).
OpenStudy (anonymous):
to get to you answer
you will have to put the equations in
slope intercept form ( or unless you can see it straight out)
OpenStudy (anonymous):
|dw:1387347159513:dw|
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