Respuesta :
Answer:
[tex]y=3\\y=5[/tex]
Step-by-step explanation:
Let's analyse each system.
[tex]x=5\\y=3[/tex]
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 [tex]x=5[/tex] represents a vertical line and [tex]y=3[/tex] represents a horizontal line.
[tex]x=3\\y=3[/tex]
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.
[tex]y=3\\y=5[/tex]
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.
By analyzing each system of a linear equation the system of a linear equation that has no solution is (y = 3) and (y = 5)
Analyze each system of a linear equation to determine which of the following system of linear equations has no solution:
1). x = 5 and y = 3
Both the lines intersect at a point (5,3). This implies that the system of the linear equation has a unique solution.
2). x = 3 and y = 3
Both the lines intersect at a point (3,3). This implies that the system of linear equations has infinitely many solutions.
3). y = 3 and y = 5
Both the lines do not intersect, they are parallel to each other. This implies that the system of the linear equation has no solution.
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https://brainly.com/question/22481111
