The pair of linear equations 2x +3y = 5 and 4x + 6y = 10 is

a. inconsistent b. consistent c. dependent consistent d. none of these

Given system of equations is:  2x + 3y = 5 and 4x + 6y = 10.

They can be rewritten as:

2x + 3y - 5 = 0 and

4x + 6y - 10 = 0

 Here, = = , i.e., = =  or

  = =

So, the given system of equations is consistent and possess infinitely many solutions.

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b. consistent

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