Question

An inconsistent system of equations is a system with __________. the same line parallel lines intersecting lines and lines that have the same equation intersecting lines and lines that have the same slope

Answer 1

an inconsistent system of equations is a system with parallel lines......and parallel lines will have the same slope, but different y intercepts

Answer 2

Parallel lines.

Explanation:

If a system of equation has 'no solution' then the system of equation is said to be inconsistent system of equations.

For example, the below system of equation is an inconsistent system of equation.

y = 2x +3 and y = 2x +4

Now, since the system of equation has no solution hence, the lines must be parallel and also the line will never intersect each other.

Therefore, we can conclude that an inconsistent system of equations is a system with parallel lines.