Which cannot describe a system of linear equations?
no solution
exactly two solutions
infinite solutions
exactly one solution
three possible conditions ... for straight lines
lines are parallel
lines cross
lines overlap
exactly 2 solutions.
To determine which option cannot describe a system of linear equations, let's break down what each option means:
1. No solution: This means that the system of linear equations has no solution, indicating that the lines representing the equations are parallel and will never intersect.
2. Exactly two solutions: This means that the system of linear equations has precisely two solutions, indicating that the lines representing the equations intersect at two distinct points.
3. Infinite solutions: This means that the system of linear equations has an infinite number of solutions, indicating that the lines representing the equations coincide with each other and intersect at every point along their lengths.
4. Exactly one solution: This means that the system of linear equations has precisely one solution, indicating that the lines representing the equations intersect at a single point.
From the explanations above, it is evident that the option "infinite solutions" cannot describe a system of linear equations.