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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.
How many solutions does a nonlinear system of equations?
None, one or many - including infinitely many.
What is Simultaneous Equations?
Simultaneous equation is nothing: it cannot exist.A system of simultaneous equations is a set of 2 or more equations with a number of variables. A solution to the system is a set of values for the variables such that when the variables are replaced by these values, each one of the equations is true.The equations may be linear or of any mathematical form. There may by none, one or more - including infinitely many - solutions to a system of simultaneous equations.
How many solutions does linear equation in two variable have?
A single linear equation in two variables has infinitely many solutions. Two linear equations in two variables will usually have a single solution - but it is also possible that they have no solution, or infinitely many solutions.
Does the graph of a system of equations with different slopes have no solutions?
The graph of a system of equations with the same slope will have no solution, unless they have the same y intercept, which would give them infinitely many solutions. Different slopes means that there is one solution.
How many solutions did this linear system have?
To determine how many solutions a linear system has, we need to analyze the equations involved. A linear system can have one unique solution, infinitely many solutions, or no solution at all. This is usually assessed by examining the coefficients and constants of the equations, as well as using methods like substitution, elimination, or matrix analysis. If the equations are consistent and independent, there is one solution; if they are consistent and dependent, there are infinitely many solutions; and if they are inconsistent, there are no solutions.
Do all rational equations have solutions?
No. They can just as well have zero solutions, several solutions, or even infinitely many solutions.
Can a system of linear equations in two variables have infinitely solutions?
Yes.
What are inifintly equations?
Linear equations with one, zero, or infinite solutions. Fill in the blanks to form a linear equation with infinitely many solutions.
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.
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.
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.
Do all rational equations have one solution?
No. They can just as well have zero solutions, several solutions, 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
Kinds of system of linear equation in two variables?
There are three kinds:the equations have a unique solutionthe equations have no solutionthe equations have infinitely many 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.
When solving a system of equations by substitution what is meant by a useless result 12 equals 12?
In the context of solving a system of equations by substitution, a "useless result" like 12 equals 12 indicates that the two equations are actually dependent, meaning they represent the same line or have infinitely many solutions. Instead of finding a unique solution, you end up with a tautology that confirms the equations are equivalent. This suggests that any solution that satisfies one equation will also satisfy the other, leading to an infinite set of solutions rather than a single point of intersection.
