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How do you know if a point is a solution if you are looking at the graph?
To determine if a point is a solution on a graph, check if the point's coordinates (x, y) satisfy the equation of the graph. If the point lies on the curve or line representing the equation, it is a solution. For instance, if the equation is y = f(x), substitute the x-coordinate into the equation to see if it equals the y-coordinate. If it does, the point is a solution.
How can you tell that an equation has the same solution as the original equation?
If the two equations are linear transformations of one another they have the same solution.
If there is no solution to a system of equations it means?
extraneous solution. or the lines do not intersect. There is no common point (solution) for the system of equation.
What is the local solution of an ordinary differential equation?
The local solution of an ordinary differential equation (ODE) is the solution you get at a specific point of the function involved in the differential equation. One can Taylor expand the function at this point, turning non-linear ODEs into linear ones, if needed, to find the behavior of the solution around that one specific point. Of course, a local solution tells you very little about the ODE's global solution, but sometimes you don't want to know that anyways.
When will an equation have one solution no solution and infinitely many solutions?
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.
What does solving the equation for a line tell us?
A line is represented by an equation. Each solution of the equation is a point on the line, and each point on the line is a solution to the equation. So the line is just the graph of the solution set of the equation.
Is the point 69 a solution of the equation y12x 6?
If this question is asking: is the point (6,9) a solution of the equation y = 12x + 6, then NO, it's not a solution.
How do you know if a point is a solution if you are looking at the graph?
To determine if a point is a solution on a graph, check if the point's coordinates (x, y) satisfy the equation of the graph. If the point lies on the curve or line representing the equation, it is a solution. For instance, if the equation is y = f(x), substitute the x-coordinate into the equation to see if it equals the y-coordinate. If it does, the point is a solution.
How can you determine whether a point is a solution to system of equations?
You substitute the coordinates of the point in the equation. If the result is true then the point is a solution and if it is false it is not a solution.
The set of all solution points of an equation?
A solution point, in R2, is an ordered pair that satisfies the function.e.g. given the function, f(x) = x2, a solution point is (0,0), or (2,4), etc.The set of all solution points of an equation is equivalent to the graph of an equation.
Is -1 -1 a solution to x y?
0
How can you tell that an equation has the same solution as the original equation?
If the two equations are linear transformations of one another they have the same solution.
Which point is a solution to the equation y=9×+12?
21
Is the point 39 a solution of the equation y8x-9?
The expression of y8x-9 has no solution because without an equality sign it can not be considered to be an equation.
If there is no solution to a system of equations it means?
extraneous solution. or the lines do not intersect. There is no common point (solution) for the system of equation.
What is the local solution of an ordinary differential equation?
The local solution of an ordinary differential equation (ODE) is the solution you get at a specific point of the function involved in the differential equation. One can Taylor expand the function at this point, turning non-linear ODEs into linear ones, if needed, to find the behavior of the solution around that one specific point. Of course, a local solution tells you very little about the ODE's global solution, but sometimes you don't want to know that anyways.
When will an equation have one solution no solution and infinitely many solutions?
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.
