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Which of the following has a finite solution for a three-variable system of equations?

A. three planes intersecting at a point
B. three planes intersecting at a line
C. three parallel planes
D. two parallel planes

User Atanu
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1 Answer

4 votes

Answer:

A. three planes intersecting at a point

Explanation:

Whenever three planes intersect at a point, then we have an ordered triplet (x,y,z) that is a solution to the associated system of equation.

This is a unique solution and it is finite.

However three planes intersecting at a line gives infinitely many solutions.

Three or two parallel planes may have no solution or or infinitely many solutions when they coincide.

User KenEucker
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