How many solutions would a system of three linear equations in three variables have if it could be graphed by two overlapping planes intersected by a third plane?(1 point)

Question

Responses

infinite number of solutions
infinite number of solutions

one solution
one solution

two solutions
two solutions

no solutions

Answer 1

If a system of three linear equations in three variables is graphed such that two of the equations represent overlapping planes and the third plane intersects them, the system will have infinite number of solutions. This is because the two overlapping planes coincide, providing a common two-dimensional plane of intersection, while the third plane can intersect it in a line, leading to an infinite number of solutions along that line.

So the correct answer is: infinite number of solutions.