The intersection of three planes is either a point, a line, or there is no intersection if any two of the planes are parallel to each other. This tells us about possible solutions to 3 equations in 3 unknowns. There may be one solution, no solution, or infinite number of solutions.
There are three kinds:the equations have a unique solutionthe equations have no solutionthe equations have infinitely many solutions.
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No. There could be no solution - no values for x, y, and z so that the 3 equations are true.
You can solve the system of equations with three variables using the substitute method, or using matrix operations.
True. To solve a three variable system of equations you can use a combination of the elimination and substitution methods.
The three types arethe system has a unique solutionthe system has no solutionsthe system has infinitely many solutions.
The intersection of three planes is either a point, a line, or there is no intersection if any two of the planes are parallel to each other. This tells us about possible solutions to 3 equations in 3 unknowns. There may be one solution, no solution, or infinite number of solutions.
There are three kinds:the equations have a unique solutionthe equations have no solutionthe equations have infinitely many solutions.
1
No. There could be no solution - no values for x, y, and z so that the 3 equations are true.
You can solve the system of equations with three variables using the substitute method, or using matrix operations.
Independence:The equations of a linear system are independent if none of the equations can be derived algebraically from the others. When the equations are independent, each equation contains new information about the variables, and removing any of the equations increases the size of the solution set.Consistency:The equations of a linear system are consistent if they possess a common solution, and inconsistent otherwise. When the equations are inconsistent, it is possible to derive a contradiction from the equations, such as the statement that 0 = 1.Homogeneous:If the linear equations in a given system have a value of zero for all of their constant terms, the system is homogeneous.If one or more of the system's constant terms aren't zero, then the system is nonhomogeneous.
Simultaneous equations are usually used in mathematics to find the values of three variables within a system.
No, small planes can have only three..No, small planes can have only three..
It is essentially a list of equations that have common unknown variables in all of them. For example, a+b-c=3 4a+b+c=1 a-2b-7c=-2 would be a system of equations. If there are the same number of equations and variables you can usually, but not always, find the solutions. Since there are 3 equations and 3 variables (a, b, and c) in this example one can usually find the value of those three variables.
No i believe that with three unknowns you must have three equal equations. Hope this helps! -dancinggirl25