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If a system of equations has infinite solutions, the graphs of the equations would represent the same line in a two-dimensional space. This means every point on the line is a solution to both equations, resulting in an overlap of the two lines. Consequently, the lines are not only parallel but also coincide completely, indicating that they have identical slopes and y-intercepts.
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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.
Is The graph of a system of equations with the same slope will have no solutions?
Yes.
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.
What is an equation where the graph of all solutions lies on a line?
There are an infinite number of equations that meet that requirement. One of them is y = x
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.
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.
What does a graph with infinitely many solutions look like?
they have same slop.then two linear equations have infinite solutions
Is The graph of a system of equations with the same slope will have no solutions?
Yes.
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.
What is an equation where the graph of all solutions lies on a line?
There are an infinite number of equations that meet that requirement. One of them is y = x
What is special about the graph of a system of equations with an infinite number for a solutions?
If the co-ordinates of linear equation are marked on the graph, the co-ordinates are always in a straight line. If the co-ordinates are not in the straight line, their might be problem in the calculation.
Does the graph of a system of equations with different slopes have no solutions?
The graph of a system of equations with the same slope will have no solution, unless they have the same y intercept, which would give them infinitely many solutions. Different slopes means that there is one solution.
How many solutions does the nonlinear system of equations graphed below have?
2
How many solutions does the nonlinear system of equations graphed when the graph open up and down?
A system of equations means that there are more than one equations. The answer depends on the exact function(s).
How do you solve systems of equations by graphing?
-- Graph each equation individually. -- Examine the graph to find points where the individual graphs intersect. -- The points where the individual graphs intersect are the solutions of the system of equations.
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.
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.
