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anonymous
 5 years ago
Find conditions on a amd b such that the system of linear equations has (a) no solutions, b) unique solution c) infinite many solutions
x+2y= 3 and ax + by = 9
anonymous
 5 years ago
Find conditions on a amd b such that the system of linear equations has (a) no solutions, b) unique solution c) infinite many solutions x+2y= 3 and ax + by = 9

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I still didn't understand the question dear do you want to know what will a = ? and b=2? to satisfy the given conditions?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0lool, it's like for example, for a), if the two linear equations are parallel to each other, than there's no solutions at all, and the questions is to find the a and b, which value should we take in order to have *no solutions* lol = )

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0alright then first write the equation in slope intercept form : y = x/2 + 3 in this case m = 1/2 so (a) should be 1/2 , parallel = means same slope. Perpendicular = means the reciprocal of the slope.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0hmmm, not sure about (b) though >_< lol

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0all right lol thanks = )

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0np :) sorry for the mess >_<

dumbcow
 5 years ago
Best ResponseYou've already chosen the best response.0yes the slope is 1/2 and to have no solution they need to have same slope however, a does not represent the slope put 2nd equation in slopeintercept form y = (a/b)x 9/b a/b is slope a/b = 1/2 a/b = 1/2 a=1 and b=2 or a=2, b=4 ... part c) infinite solutions means they are the same line so same slope of 1/2 again but now the y_intercepts must be the same y = x/2 +3/2 , y = (a/b)x 9/b 9/b = 3/2 3b = 18 b = 6 and a/b = 1/2 a/6 = 1/2 a = 3 part b) a and b can be any other numbers except those used in part a and c if 2 lines are distinct and not parallel then they must intersect at some point so a=3 b=5

angela210793
 5 years ago
Best ResponseYou've already chosen the best response.0how abt: x+2y= 3> y=(3x)/2 \[x \neq3 cause 33/2=0\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0let two equations be a1x+b1y=c1 & a2x+b2y=c2. they have uniq solutions if \[a1/a2\neq b1/b2\]has no solutions if \[a1/a2=b1/b2\neq c1/c2\]has infinite solutions if \[a1/a2=b1/b2=c1/c2\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so from your given equations for infinite solutions 1/a=2/b=3/9 a=3, b=6. for no solutions \[1/a =2/b \neq3/9\] \[b/a=2 \] \[a \neq 3 , b\neq 6\] for unique solutions \[a/b \neq 1/2\]
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