Question

The sum of three numbers is 6. Thrice the third number when added to the first number gives7. On adding three times first number to the sum of second and third number we get 12. Find the three numbers by using matrices.

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Answer 1

Answer:

x+y+z=6............ (1)

3z+x=7....... (2)

3x+y+z=12....... (3)

taking 1 and 3

(x+y+z=6) - (3x+y+z=12)

=

-2x= -6

x=3

put it in 2

3z+x=7

z=4/3

put value of x and z in 1

x+y+z=6

3+4/3+y=6

y=3-4/3

=5/3