Question

When you graph a system of two linear equations, which outcome is NOT possible?

A. The lines do not intersect, so there are no solutions.
B. The lines intersect at one point, so the system has one solution.
C. The lines intersect in two different points, so the system has two solutions.
D. The graphs of the two equations are the same line, so there are infinitely many solutions.

Answer 1

A. The lines do not intersect, so there are no solutions.

This is true, if the line's never intersect and don't have a common/same point, there are no solutions.

B. The lines intersect at one point, so the system has one solution.

This is true because they have 1 same point so they have 1 solution

C. The lines intersect in two different points, so the system has two solutions.

This is not possible, straight lines can only intersect 1 time. If the lines are curved, then they can intersect more than once

D. The graphs of the two equations are the same line, so there are infinitely many solutions.

This is true because they will always have the same points, so they will have an infinite number of solutions