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For the system of equaltions : x+2y+3z...

For the system of equaltions :
`x+2y+3z=1`
`2x+y+3z=2`
`5x+5y+9z=4`

A

there is only one solution

B

there exists infinitely many solutions

C

there is no solution

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
A
`Delta=|(1,2,3),(2,1,3),(5,5,9)|=1(9-15)-2(18-15)+3(10-5)`
`=-6-+15=3!=0`
Hence, the system of equations has a unique solution.
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