Question

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

Answer 1

An outcome that is not possible is that the lines intersect in two different points so the system has two solutions.

Explanation:

The two lines can never intersect each other at two points. Two lines intersects only once if they intersect otherwise they are parallel or coincide.

Answer 2

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

Explanation:

Consider the provided information.

If you draw a graph 3 possible outcomes are:

One solution: If two linear equations intersect each other at only one point.

Infinite solution: If two lines are coincident lines

No solution: If two lines never intersect each other.

For better understanding refer the figure.

So which outcomes are not possible can be:

The two lines can never intersect each other at two points.

Hence, The lines intersect in two different points so the system has two solutions is not possible outcome.