intersecting planes

Level pending

For what value of k k do the following sets of planes intersect in a line?

3 x y + z = 0 3x-y+z=0

k x + 2 y z = 0 kx+2y-z=0

4 x + y + z = 0 4x+y+z=0

The answer can be represented as a b -\frac { a }{ b } . Express the answer as a + b a+b .


The answer is 7.

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