checking consistency of equations using determinants

Solve using determinants (Cramers rule)

2x + 3y = 8

 4x + 6y = 16

n = 2 unknowns
r =1

n-r = 2-1 = 1

therefore one unknown can be chosen arbitrarily

put y = k  (arbitrary ) in the first equation  2x +3y =8

2x + 3k = 8

solving x = (8 - 3k) / 2


so solution is

x = (8 - 3k) / 2

y = k

where k is any number.














some questions in mathematics for the tamilnadu higher secondary 12th exam, isc ,  puc pre degree etc.
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