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If the system fo equations x+y+z = 5 ...

If the system fo equations
x+y+z = 5
x + 2y + 3z = 9
`x + 3y + alphaz = beta`
has infinitely many solution, then `beta - alpha` equals

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`Delta = |{:(1,1,1),(1,2,3),(1,3,alpha):}|`
` 2 alpha - 9 + 3 - alpha + 1 ne 0 `
` alpha - 5 ne 0 , alpha ne 5 `
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VMC MODULES ENGLISH-JEE MAIN REVISION TEST - 19-MATHEMATICS
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