If for some α and β in R, the intersection of the following three pl – InterviewSolution

1.	If for some α and β in R, the intersection of the following three planes x+4y−2z=1x+7y−5z=βx+5y+αz=5 is a line in R3, then α+β is equal to :
Answer» If for some $α$ and $β$ in $R$ , the intersection of the following three planes $x + 4 y - 2 z = 1 x + 7 y - 5 z = β x + 5 y + α z = 5$ is a line in $R^{3}$ , then $α + β$ is equal to :

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