Question

I NEED HELP!!!!!!

Which graph 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

The answer is coordinate plane with two parallel lines (A). I got it right on my test.

Answer 2

The coordinate plane with two parallel lines shows a system of equations with no solution.

Explanation:

Two intersecting lines on the coordinate plane have a definite solution.

Two coinciding lines on the coordinate plane have infinitely many solutions as they intersect at infinitely many points.

And, two parallel lines on the coordinate plane has no solution as they never intersect with each other.

Therefore, the coordinate plane with two parallel lines shows a system of equations with no solution. (Answer)