Find the values of a and b for which the following system of equations has infinitely many solutions: 2x -(2a+5) y= 5 ; (2b+1)x-9y -15

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asked Feb 6, 2018 in Mathematics by sforrest072 (157,439 points) 60 409 933
Find the values of a and b for which the following system of equations has infinitely many solutions:

2x -(2a+5) y= 5

(2b+1)x-9y -15

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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 is

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

Hence, the given system of equations will have infinitely many solutions, if a = -1 and b =5/2

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