infinite amount
Two planes intersect at a line. The line where they intersect pertains to both planes. In the same manner, if infinitely many planes intersect each other at the same line, then that line pertains to the infinitely many planes.
Points that are contained on the same line or portion of a line are considered to be collinear.
In plane geometry a line is a two dimentional object between two points. If a line or a point is not on the line it, by definition, does not contain them. The answer therefor is infinite. Unless it is a closed line which has a slightly different definition but the answer is the same.
They have an infinite number of solutions.
The quadratic has no real solutions.
Two lines that are exactly the same is the same as one line, and so any point on that line can be a solution. There are infinite points on a line, so there are infinite solutions.
Infinite simultaneous solutions. (The two equations represent the same line) OR If your in nova net the answer should be ( Many )
Infinitely many: they are the same line!
Coincidental equations are really the same and are the same line. They have infinite solutions meaning that any solution for one will be a solution for the other.
No, a linear equation in two variables typically has one unique solution, which represents the intersection point of two lines on a graph. However, if the equation represents the same line (as in infinitely many solutions) or if it is inconsistent (no solutions), then the type of solutions can vary. In general, a single linear equation corresponds to either one solution, no solutions, or infinitely many solutions when considering the same line.
If you graph a system of two lines and all you see is one line, this means that both lines are the same. Any point on the line is a solution, so the system has an infinite number of solutions.
If a system of equations is represented by coinciding lines, it has infinitely many solutions. This occurs because every point on the line satisfies both equations, meaning that there are countless points that are solutions to the system. In this case, the two equations represent the same line in the coordinate plane.
No because they are essentially the same line
No. The graph of each linear equation is a straight line, and two or more lines can't all intersect at more than one point. * * * * * Unless all the lines are, in fact, the same line. In that case each point on the line is a solution. That is, there are infinitely many solutions.
A system of equations is considered consistent if it has at least one solution, and it is coincident if all solutions are the same line (infinitely many solutions). If the system has no solutions, it is inconsistent. To determine the nature of a specific system, you need to analyze its equations; for example, if two equations represent the same line, it is consistent and coincident, while parallel lines indicate inconsistency.
An equation will have one solution when it represents a line that intersects with another line at a single point, indicating a unique solution. It will have no solution if the lines are parallel, meaning they never intersect. An equation has infinitely many solutions when it represents the same line, where every point on the line is a solution. These scenarios typically apply to linear equations in two variables.
When graphing a system of equations with infinitely many solutions, the slopes of the two lines will be equal, as they represent the same line. Additionally, the lines will coincide, meaning every point on one line is also a point on the other. This occurs when both equations are essentially the same, differing only by a constant factor.