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Can a given line be in two planes?
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.
What are points that are contained on the same line or portion of a line?
Points that are contained on the same line or portion of a line are considered to be collinear.
How many lines can contain a line and a point not on the line?
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.
If the graphs of two linear equations in a system have the same slope the system has what kind of solution?
If they have the same slope, then there are two possibilities. First say they have the same slope and different y intercepts. This means they are parallel lines and there is no intersection. The solution is the empty set or we say there is no solution.If the y intercept is the same, then the two equations represent the same line. In this case there is an infinite number of solutions.
Points that lie on the same line are called?
Collinear lines lie on the same straight line
Will a graph of system equations that have the same slope and same y intercept have no solutions?
Yes, a graph of system equations that have the same slope and the same y-intercept represents the same line. Since both equations describe the same line, they have infinitely many solutions, as every point on the line is a solution. Therefore, such a system does not have no solutions; it has an infinite number of solutions.
Why does two lines that are exactly the same have infinitely many 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.
If a system of equations is dependent how many solutions will it have?
Infinite simultaneous solutions. (The two equations represent the same line) OR If your in nova net the answer should be ( Many )
How many solutions does x equals y and y equals x have?
Infinitely many: they are the same line!
If a system has many solutions what kind of system of equations is it?
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.
How many solutions will system have if the graph of the soulution is coinciding lines?
If the graphs of the solutions are coinciding lines, the system of equations has infinitely many solutions. This situation occurs when the equations represent the same line, meaning every point on the line is a solution to the system. Consequently, there is no unique solution, but rather an infinite set of solutions along the coinciding line.
Can linear equations have more than one solutions?
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.
What systems of equations is infinitely many solutions?
A system of equations has infinitely many solutions when the equations represent the same line or plane. In a two-variable scenario, this occurs when both equations can be simplified to the same linear equation, meaning they are dependent. Graphically, this results in overlapping lines. For example, the equations (2x + 3y = 6) and (4x + 6y = 12) represent the same line and thus have infinitely many solutions.
When you graph a system and all you see is one line how many solutions will the system have?
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.
How many solutions will a system have if a graph of the solution is coinciding lines?
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.
Is it possible for a linear system with infinitely many solutions to contain two lines with different y-intercepts?
No because they are essentially the same line
Can a system of linear equations have two solutions?
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.
