0
Does the solution to a system of three equations in three variables is always one point?
Wiki User
∙ 11y ago
No. There could be no solution - no values for x, y, and z so that the 3 equations are true.
Wiki User
∙ 11y ago
Add your answer:
Earn +20 pts
A definition of a solution to a system of equations?
A system of equations is a set of two or more equations with the same variables, graphed in the same coordinate plane
When does a system of linear equations in two variables have a unique or one solution?
simultaneous equations
If a system of equations is independent how many soultions will it have?
A system of equations may have any amount of solutions. If the equations are linear, the system will have either no solution, one solution, or an infinite number of solutions. If the equations are linear AND there are as many equations as variables, AND they are independent, the system will have exactly one solution.
What system of two linear equations in two variables that has exactly one solution?
An independent system has one solution.
What is a set of equations in the same variables?
It is a set of equations, which is also called a system of equations. There may be no solution, a single (unique) solution or more than one - including infinitely many.
What is the solution of a system of linear equations in two variables?
The solution of a system of linear equations is a pair of values that make both of the equations true.
A definition of a solution to a system of equations?
A system of equations is a set of two or more equations with the same variables, graphed in the same coordinate plane
When does a system of linear equations in two variables have a unique or one solution?
simultaneous equations
If a system of equations is independent how many soultions will it have?
A system of equations may have any amount of solutions. If the equations are linear, the system will have either no solution, one solution, or an infinite number of solutions. If the equations are linear AND there are as many equations as variables, AND they are independent, the system will have exactly one solution.
What system of two linear equations in two variables that has exactly one solution?
An independent system has one solution.
What is the solution to a linear equation?
The solution to a system on linear equations in nunknown variables are ordered n-tuples such that their values satisfy each of the equations in the system. There need not be a solution or there can be more than one solutions.
What is a set of equations in the same variables?
It is a set of equations, which is also called a system of equations. There may be no solution, a single (unique) solution or more than one - 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.
Why are systems of equations important?
A single equation is several unknowns will rarely have a unique solution. A system of n equations in n unknown variables may have a unique solution.
How do you check a solution to a system of equations?
Put the values that you find (as the solution) back into one (or more) of the original equations and evaluate them. If they remain true then the solution checks out. If one equation does not contain all the variables involved in the system, you may have to repeat with another of the original equations.
What is a unique solution in linear equations?
This is the case when there is only one set of values for each of the variables that satisfies the system of linear equations. It requires the matrix of coefficients. A to be invertible. If the system of equations is y = Ax then the unique solution is x = A-1y.
What is of system of equations?
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.
