Substitute the coordinates of the point into the equation and if the result is a true statement then the point is a solution, and if not it isn't.
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.
If the two equations are linear transformations of one another they have the same solution.
extraneous solution. or the lines do not intersect. There is no common point (solution) for the system of 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.
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.
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.
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.
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.
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.
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.
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If the two equations are linear transformations of one another they have the same solution.
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The expression of y8x-9 has no solution because without an equality sign it can not be considered to be an equation.
extraneous solution. or the lines do not intersect. There is no common point (solution) for the system of 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.
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.