Question

A consistent system of equations is a system with __________.

A) The same line
B) Parallel lines
C) Intersecting lines and lines that have the same slope
D) Intersecting lines and lines that have the same equation

Answer 1

D) Intersecting lines and lines that have the same equation

Step-by-step explanation:

A system is "inconsistent" when it has no solution: the lines are parallel; they have the same slope but do not intersect.

A system is "consistent" when it has one or more solutions. There will be one solution when the lines intersect at one point. There will be more solutions when the lines have the same equation (the equations are dependent). Answer choice D covers both these cases.