Question 1033696:  I need help in knowing how many solutions does this system have, exactly one, many solutions, or no solutions. 
x+3y=0 
  12y=-4x 
 Answer by stanbon(75887)      (Show Source): 
You can  put this solution on YOUR website!  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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