Q. 235.0( 1 Vote )

Two schools P and

Answer :

We have,


3x+2y+z=1000


4x+7+3z=1500


x+y+z=600


The given system of equations can be written as AX = B ,


Where


Now, |A| = = 3(1-3)-2(4-3)+1(4-1)


=-6-2+3 = -8+3 = -5 ≠ 0


So the given system of equation has a unique solution given by


X =A-1B


Co-factors are ,


Similarly we can find all co-factors


C11 = -2 , C12 = -1, C13 = 3


C21 = -1 , C22 = 2, C23 = -1


C31 = 5 , C32 = -5, C33 = -5




Now, X =A-1B






x = 100, y=200 and z=300


i.e Rs. 100 forDiscipline, Rs. 200 for Politeness and Rs. 300 for Punctuality.


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