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In simple terms all that it means that there are more solutions than you can count!

If the equations are all linear, some possibilities are given below (some are equivalent statements):

  • there are fewer equations than variables
  • the matrix of coefficients is singular
  • the matrix of coefficients cannot be inverted
  • one of the equations is a linear combination of the others
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โˆ™ 2012-12-24 23:53:43
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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 does it means if there are an infinite number of solutions to a system of equations?
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Related questions

How many solutions does a system of equations have?

It depends on the equation. It could have one, it could have an infinite number.


What are the possible solutions for a system of equations?

The system of equations can have zero solutions, one solution, two solutions, any finite number of solutions, or an infinite number of solutions. If it is a system of LINEAR equations, then the only possibilities are zero solutions, one solution, and an infinite number of solutions. With linear equations, think of each equation describing a straight line. The solution to the system of equations will be where these lines intersect (a point). If they do not intersect at all (or maybe two of the lines intersect, and the third one doesn't) then there is no solution. If the equations describe the same line, then there will be infinite solutions (every point on the line satisfies both equations). If the system of equations came from a real world problem (like solving for currents or voltages in different parts of a circuit) then there should be a solution, if the equations were chosen properly.


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 is a system of linear equations in two variables?

They are a set of equations in two unknowns such that any term containing can contain at most one of the unknowns to the power 1. A system of linear equations can have no solutions, one solution or an infinite number of solutions.


Can a system of two linear equations in two variables have 3 solutions?

No. At least, it can't have EXACTLY 3 solutions, if that's what you mean. A system of two linear equations in two variables can have:No solutionOne solutionAn infinite number of solutions


There is a system of linear equations with exactly two solutions is it true or false?

False. There can either be zero, one, or infinite solutions to a system of two linear equations.


What does it mean if there are an infinite number of solutions to a system of linear equations?

Any two numbers that make one of the equations true will make the other equation true.


What are equations with the same solution?

Equations with the same solution are called dependent equations, which are equations that represent the same line; therefore every point on the line of a dependent equation represents a solution. Since there is an infinite number of points on a line, there is an infinite number of simultaneous solutions. For example, 2x + y = 8 4x + 2y = 16 These equations are dependent. Since they represent the same line, all points that satisfy either of the equations are solutions of the system. A system of linear equations is consistent if there is only one solution for the system. A system of linear equations is inconsistent if it does not have any solutions.


What is the number of solutions of a system in which the lines are coincident?

an infinite number of solutions


If a system of equations is dependent how many solutions will it have?

Infinite simultaneous solutions. (The two equations represent the same line) OR If your in nova net the answer should be ( Many )


Independent system of two linear equations has an infinite number of solutions?

If the system is for more than two variables there will be an infinite number of solutions since only two of the variables can be determined while the rest will be free to take any value. Also, technically, it does not matter what the system is independent of. What matters is that the linear equations are independent of one another.


What does it mean if there are an infinite number of solutions for a system of linear equations?

It means that the equations are actually both the same one. When they're graphed, they both turn out to be the same line.

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