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Is it possible for a system of three linear equations to have one solution?
Yes, it is possible for a system of three linear equations to have one solution. This occurs when the three equations represent three planes that intersect at a single point in three-dimensional space. For this to happen, the equations must be independent, meaning no two equations are parallel, and not all three planes are coplanar. If these conditions are met, the system will yield a unique solution.
What are the three kinds of linear equations?
The three types of linear equations are: Consistent Dependent, Consistent Independent, and Inconsistent.
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.
Will equations of three parallel lines have value?
Yes. But for what?
Does the solution to a system of three equations in three variables is always one point?
No. There could be no solution - no values for x, y, and z so that the 3 equations are true.
Is it possible to find three unknowns with two equations if the two equations are equal?
No i believe that with three unknowns you must have three equal equations. Hope this helps! -dancinggirl25
Is it possible for a system of three linear equations to have one solution?
Yes, it is possible for a system of three linear equations to have one solution. This occurs when the three equations represent three planes that intersect at a single point in three-dimensional space. For this to happen, the equations must be independent, meaning no two equations are parallel, and not all three planes are coplanar. If these conditions are met, the system will yield a unique solution.
What are the three kinds of linear equations?
The three types of linear equations are: Consistent Dependent, Consistent Independent, and Inconsistent.
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.
Will equations of three parallel lines have value?
Yes. But for what?
Does the solution to a system of three equations in three variables is always one point?
No. There could be no solution - no values for x, y, and z so that the 3 equations are true.
How many methods are there for solving quadratic equations?
There are several methods for solving quadratic equations, although some apply only to specific quadratic equations of specific forms. The methods include:Use of the quadratic formulaCompleting the SquareFactoringIterative methodsguessing
To solve a three variable system of equations you can use a combination of the elimination and substitution methods?
True. To solve a three variable system of equations you can use a combination of the elimination and substitution methods.
How do you solve 3 dimensional equations?
You can solve the system of equations with three variables using the substitute method, or using matrix operations.
When three planes coincide the equations of the system are?
When three planes coincide, they represent a single plane in three-dimensional space. This situation occurs when the equations of the planes are dependent, meaning they can be expressed as scalar multiples of one another or as linear combinations that yield the same geometric plane. Mathematically, this leads to an infinite number of solutions, as any point on the plane satisfies all three equations simultaneously. In such cases, the system of equations is consistent and has infinitely many solutions.
How to formulate the Basic equations of the atmosphere?
To formulate the basic equations of the atmosphere, one typically starts with the fundamental equations of fluid motion, such as the Navier-Stokes equations, and then incorporates additional factors like conservation of mass, energy, and moisture. These equations are applied to describe the dynamics of the atmosphere, including phenomena like wind patterns, temperature variations, and precipitation. Simplified forms of these equations, such as the primitive equations or the equations used in numerical weather models, are commonly used in atmospheric science.
How many solutions does a system of linear equations in three variables have?
1
