asked 107k views
4 votes
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

asked
User Atanu
by
8.0k points

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.

answered
User KenEucker
by
8.2k points
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