Question

Which of the following systems of linear equations has no solution? x=5,y=3. X=3,y=3. y=3,y=5

Answer 1

Answer:

X=3,Y=3

Step-by-step explanation:

They have the same location so there wouldn't be any movement so therefore it has no solution.

Answer 2

Answer:

$y=3\\y=5$

Step-by-step explanation:

Let's analyse each system.

$x=5\\y=3$

This system has a unique solution, which is (5,3), that means those lines intercept at that point. You can deduct that this system has a solution because $x=5$ represents a vertical line and $y=3$ represents a horizontal line.

$x=3\\y=3$

This system has infinitely many solutions, because those are line are one on top of the other. In other words, they intercept at all possible points ever.

$y=3\\y=5$

This system has no solution, because both equations represent a vertical line, which means they are parallel, and parallel lines won't never intercept.

Therefore, the last system doesn't have no solution.