<PRE><B>Question 1033696</B>
 I need help in knowing how many solutions does this system have, exactly one, many solutions, or no solutions.
x+3y=0
12y=-4x 
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Put the equations into slope-intercept form::
y = (-1/3)x
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y = (-4/12)x = (-1/3)x
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The slopes are the same:: m = -1/3 and the intercepts are the same.
The two lines are really one line.
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Ans:: infinite # of solutions
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Cheers,
Stan H.
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