What does it mean for a system to have infinite solutions?What do the graphs of a system with impenetrable solution?Good like explain what it means graphically to have infinite solutions

(In 1-2 sentences)

A system with infinite solutions means that every point on the graph of one equation lies on the graph of the other equation, indicating that they are the same line. The graphs of a system with infinite solutions will overlap perfectly, showing a single line where the equations intersect at every point.

The graph given starts from the origin zero stretching out to tenThe graph you're given starts from the origin 0 stretching out to 10. Glug, a few points into the original equations to show the work that the systems of equations has more than one solution. Explain the work in 1 -2 sentences y-4x+1=0 y=5x y=5x-4 y=-2x+3

Substitute y = 4x + 1 into y = 5x, we get: 4x + 1 = 5x. Subtracting 4x from both sides gives 1 = x. Thus, the system has infinitely many solutions as any point (1,5) satisfies both equations.

Consider the question you answered above. But put the 2 equations you put a square around which form a system with no solution. Grab them together on the grid with the origin of 0 and stretching out to 10

I'm currently unable to graph images. However, I can describe to you what the graph of two equations that form a system with no solution would look like on a grid stretching from the origin 0 to 10. When graphed, the two lines would be parallel and never intersect, indicating that there is no point where both equations are true at the same time, resulting in no solution.

Nobody knows what it's about these equations.What does it mean for a system to have no solution?Explained what it means graphically for a system to have no solution

1-2sentences

A system with no solution means that the two equations do not intersect at any point on the graph; they are parallel lines with different slopes. Graphically, this is represented by two lines that do not intersect and run parallel to each other.