Question

. 1. A consistent system of equations is a system with __________.. . the same line. . parallel lines. . intersecting lines and lines that have the same slope. . intersecting lines and lines that have the same equation. . 2. The graph of a system of equations with different slopes will have no solutions.. . Always. . Sometimes. . Never. .

Answer 1

A consistent system of equations is a system with intersecting lines and lines that have the same equation.

A consistent system is the system of equations with at least one solution or infinite number of solutions.

So , the intersecting lines will always have a solution and the lines with the same equation will have infinite number of solution.

The graph of a system of equations with different slopes will have no solutions. Correct option in "Never"

If the system of equations have different slopes then the equations are not parallel, hence the equations will always have a solution.