Simultaneous equations have the same solutions.
Simultaneous equations have the same solutions
Simultaneous equations have the same solutions.
They are called simultaneous equations.
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.
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.
Yes.
Infinite simultaneous solutions. (The two equations represent the same line) OR If your in nova net the answer should be ( Many )
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.
That means the same as solutions of other types of equations: a number that, when you replace the variable by that number, will make the equation true.Note that many trigonometric equations have infinitely many solutions. This is a result of the trigonometric functions being periodic.
Equations with the same solution are called dependent equations, which are equations that represent the same line; therefore every point on the line of a dependent equation represents a solution. Since there is an infinite number of points on a line, there is an infinite number of simultaneous solutions. For example, 2x + y = 8 4x + 2y = 16 These equations are dependent. Since they represent the same line, all points that satisfy either of the equations are solutions of the system. A system of linear equations is consistent if there is only one solution for the system. A system of linear equations is inconsistent if it does not have any solutions.
they have same slop.then two linear equations have infinite solutions
A system of equations can have three types of solutions: one unique solution, infinitely many solutions, or no solution at all. A unique solution occurs when the equations intersect at a single point, while infinitely many solutions arise when the equations represent the same line or plane. No solution occurs when the equations represent parallel lines or planes that do not intersect. The nature of the solutions depends on the relationships between the equations in the system.