If for some $\alpha $ and $\beta $ in R, the intersection of the following three places x + 4y – 2z = 1 x + 7y – 5z = b x + 5y + $\alpha $z = 5 is a line in R3, then $\alpha $ + $\beta $ is equal to :

Question

If for some $\alpha $ and $\beta $ in R, the intersection of the following three places
x + 4y – 2z = 1
x + 7y – 5z = b
x + 5y + $\alpha $z = 5
is a line in R³, then $\alpha $ + $\beta $ is equal to :

-10

Solution

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