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An independent system has one solution.

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โˆ™ 2010-04-21 05:38:48
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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Q: What system of two linear equations in two variables that has exactly one solution?
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Related questions

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.


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.


When does a system of linear equations in two variables have a unique or one solution?

simultaneous equations


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.


What is the solution of an equation with 2 variables x and y?

A linear equation in two variables will not have a single solution. Its solution set is a line in the Cartesian plane. The solution to non-linear equations will depend on the equation.


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 system of linear equations that has no solution?

there is no linear equations that has no solution every problem has a solution


A system of two linear equations has exactly one solution if?

The slopes (gradients) of the two equations are different.


If a system of linear equations has exactly one solution then the two lines are what?

perpendicular


Can a system of linear equations in two variables have exactly two solutions?

Yes. The easiest case to see where this is true is in the case that the equations are all of degree = 1, which will yield one solution per variable.


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 are the importance of linear equation?

They are the simplest form of relationship between two variables. Non-linear equations are often converted - by transforming variables - to linear equations.

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