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Determine the values of a and b so that the following system of linear equations have infinitely many solutions: (2a-1) x+3y-5=0 ; 3x+(b-1) y-2 =0

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asked Feb 6, 2018 in Mathematics by sforrest072 (157,439 points) ● 61 ● 410 ● 937
edited Mar 5, 2018 by faiz
Determine the values of a and b so that the following system of linear equations have infinitely many solutions:
(2a-1) x+3y-5=0
3x+(b-1) y-2 =0

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answered Feb 6, 2018 by mdsamim (213,225 points) ● 5 ● 10 ● 15
selected Feb 6, 2018 by sforrest072
 
Best answer

The given system of equations may be written as

The given system of equations will have infinite number of solutions, if

Hence, the given system of equations will have infinitely many solutions,

if a=17/4 and b =11/5.

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