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What is equations that have the same solutions?
Simultaneous equations have the same solutions.
How do you answer equations?
The answers to equations are their solutions
If a system of equations is inconsitient how many solutions will it have?
If a system of equations is inconsistent, there are no solutions.
What are equations that have the same answer?
Simultaneous equations have the same solutions
How many solutions would you expect for this system of equations?
To determine the number of solutions for a system of equations, one would typically analyze the equations' characteristics—such as their slopes and intercepts in the case of linear equations. If the equations represent parallel lines, there would be no solutions; if they intersect at a single point, there is one solution; and if they are identical, there would be infinitely many solutions. Without specific equations, it's impossible to provide a definitive number of solutions.
How many solutions does the system of linear equations shown have?
As there is no system of equations shown, there are zero solutions.
What is an equation that have the same solutions?
Simultaneous equations have the same solutions.
What are linear equations with the same solutions called?
They are called simultaneous equations.
How many solutions does the Nonlinear system of equations have?
The number of solutions to a nonlinear system of equations can vary widely depending on the specific equations involved. Such systems can have no solutions, a unique solution, or multiple solutions. The behavior is influenced by the nature of the equations, their intersections, and the dimensions of the variables involved. To determine the exact number of solutions, one typically needs to analyze the equations using methods such as graphical analysis, algebraic manipulation, or numerical techniques.
What are the possible solutions for a system of equations?
The system of equations can have zero solutions, one solution, two solutions, any finite number of solutions, or an infinite number of solutions. If it is a system of LINEAR equations, then the only possibilities are zero solutions, one solution, and an infinite number of solutions. With linear equations, think of each equation describing a straight line. The solution to the system of equations will be where these lines intersect (a point). If they do not intersect at all (or maybe two of the lines intersect, and the third one doesn't) then there is no solution. If the equations describe the same line, then there will be infinite solutions (every point on the line satisfies both equations). If the system of equations came from a real world problem (like solving for currents or voltages in different parts of a circuit) then there should be a solution, if the equations were chosen properly.
What are solutions of trigonometric equations?
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.
How many solutions does the nonlinear system of equations graphed below have?
2
