Question

A system of equations with no solution will have lines that...

A. Intersect at one point
B. Never intersect
C. Coincide (run together in the same direction)
D. Intersect at multiple points

Answer 1

A system of equations with no solution will have lines that never intersect.

Step-by-step explanation:

A system of equations with no solution will have lines that never intersect (option B).

When we have a system of equations with no solution, it means that the lines represented by the equations are parallel and will never cross or intersect each other.

An example of a system of equations with no solution is:

y = 2x + 1

y = 2x + 5

These equations have the same slope (2) and different y-intercepts (1 and 5), so the lines are parallel and will never intersect.