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Mathematics 14 Online
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

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?

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?

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):

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