Question

Which graph below shows a system of equations with no solution?

coordinate plane with two parallel lines

coordinate plane with two intersecting lines

coordinate plane with two coinciding lines

coordinate plane with two intersecting lines

Answer 1

Parallel lines. Think about what we mean by "solution": when the graphs intersect. Do parallel lines intersect? No. (Parallel lines are lines that never touch each other—think back to geometry.)

So they have no solution.

Answer 2

thank you