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Two nonlinear equations can have zero, one, or multiple solutions, depending on their specific forms and how they intersect in the coordinate system. In some cases, they may intersect at discrete points, while in others, they might not intersect at all. Additionally, there can be scenarios where the equations are tangent to each other, resulting in a single solution. The nature of the solutions is influenced by the shapes of the curves represented by the equations.

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What is a set of two or more equations that contain two or more variables?

A set of two or more equations that contain two or more variables is known as a system of equations. These equations can be linear or nonlinear and are solved simultaneously to find the values of the variables that satisfy all equations in the system. Solutions can be found using various methods, such as substitution, elimination, or graphing. If the system has a unique solution, it means the equations intersect at a single point; if there are no solutions or infinitely many solutions, the equations may be parallel or coincide, respectively.


Can a system of two linear equations have exactly two solutions explain?

No, a system of two linear equations cannot have exactly two solutions. In a two-dimensional space, two linear equations can either intersect at one point (one solution), be parallel (no solutions), or be the same line (infinitely many solutions). Therefore, it is impossible for a system of two linear equations to have exactly two solutions.


Why could a system of linear equations have two solutions?

A system of linear equations cannot have two distinct solutions if it is consistent and defined in a Euclidean space. If two linear equations intersect at a single point, they have one solution; if they are parallel, they have no solutions. However, if the equations are dependent, meaning one equation is a multiple of the other, they represent the same line and thus have infinitely many solutions, not just two. Therefore, in standard scenarios, a system of linear equations can either have one solution, no solutions, or infinitely many solutions, but not exactly two.


Two lines intersect how many solutions does the system of equations have?

When two lines intersect, the system of equations has exactly one solution. This solution corresponds to the point of intersection, where both equations are satisfied simultaneously. If the lines are parallel, there would be no solutions, and if they coincide, there would be infinitely many solutions.


Is it possible that an equation have two or more solutions?

Yes, some equations have as many as ten. There is a very rare equations that only two people have seen that has 1 billion solutions.

Related Questions

How many solutions does the nonlinear system of equations graphed below have?

2


Examples of nonlinear equations?

y=x2 and y=lnx are two examples of nonlinear equations.


What is a set of two or more equations that contain two or more variables?

A set of two or more equations that contain two or more variables is known as a system of equations. These equations can be linear or nonlinear and are solved simultaneously to find the values of the variables that satisfy all equations in the system. Solutions can be found using various methods, such as substitution, elimination, or graphing. If the system has a unique solution, it means the equations intersect at a single point; if there are no solutions or infinitely many solutions, the equations may be parallel or coincide, respectively.


If a system of equations is dependent how many solutions will it have?

Infinite simultaneous solutions. (The two equations represent the same line) OR If your in nova net the answer should be ( Many )


What is nonlinear?

Nonlinear means something is not in a line. It is a term commonly used in math, meaning two or more equations are not on the same line.


Two lines intersect how many solutions does the system of equations have?

When two lines intersect, the system of equations has exactly one solution. This solution corresponds to the point of intersection, where both equations are satisfied simultaneously. If the lines are parallel, there would be no solutions, and if they coincide, there would be infinitely many solutions.


Is it possible that an equation have two or more solutions?

Yes, some equations have as many as ten. There is a very rare equations that only two people have seen that has 1 billion solutions.


Why a system of linear equations cannot have exactly two solutions?

A system of linear equations can only have: no solution, one solution, or infinitely many solutions.


How many solutions can two unique equations that both have two squared variables?

Four.


How many possible solutions can a system of two linear equations in two unknowns have?

A system of two linear equations in two unknowns can have three possible types of solutions: exactly one solution (when the lines intersect at a single point), no solutions (when the lines are parallel and never intersect), or infinitely many solutions (when the two equations represent the same line). Thus, there are three potential outcomes for such a system.


Systems of equations have one solution?

Systems of equations can have just about any number of solutions: zero, one, two, etc., or even infinitely many solutions.


What does a graph with infinitely many solutions look like?

they have same slop.then two linear equations have infinite solutions