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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.
How are word problems with equations different from word problems with expressions?
It may be possible to solve equations. Expressions cannot be solved until they are converted, with additional information, into equations or inequalities which may have solutions.
What does it means if there are an infinite number of solutions to a system of equations?
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 variablesthe matrix of coefficients is singularthe matrix of coefficients cannot be invertedone of the equations is a linear combination of the others
Why cant a system of linear equations cannot have exactly two solutions?
Because linear lines can't intersect in two seperate places. They either intersect at one specific coordinate, or the lines are on top of each other and they intersect at every point.
What is the first step in solving a system of nonlinear equations by substitutions?
In general, a system of non-linear equations cannot be solved by substitutions.
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.
Do all rational equations have a single solution?
Not all rational equations have a single solution but can have more than one because of having polynomials. All rational equations do have solutions that cannot fulfill the answer.
How are word problems with equations different from word problems with expressions?
It may be possible to solve equations. Expressions cannot be solved until they are converted, with additional information, into equations or inequalities which may have solutions.
What does it means if there are an infinite number of solutions to a system of equations?
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 variablesthe matrix of coefficients is singularthe matrix of coefficients cannot be invertedone of the equations is a linear combination of the others
Why cant a system of linear equations cannot have exactly two solutions?
Because linear lines can't intersect in two seperate places. They either intersect at one specific coordinate, or the lines are on top of each other and they intersect at every point.
How big is the solution set for an equation that cannot be solved?
Unsolvable equations have no solutions so the solution set would be [ ]. (empty set)
Methods that are synchronized cannot be final.?
You need to explain a little more what you are talking about, and exactly what your question is.
How do you order linear equations?
Equations cannot be ordered.
How many solutions does an inconsistent system of equations have?
If a system is inconsistent it cannot have any solutions.A system of equations is considered inconsistent when the lines are parallel which means they never intersect so there are no solutions.A system is considered consistent when they intersect at one point and have one solution (Also known as an independent system of equations).Dependent Systems are when the lines coincide (the same equation) so they have an infinite number of solutions.
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.
Solutions cannot be separated by what?
Solutions cannot be separated by sublimation.
How can you determine the number of solutions for an equation?
In general, you cannot: it all depends on the domain.x + 2 = 0 has no solutions is the set of positive integers but does have one if the domain is the integers.2x - 3 = 0 has no solutions if the domain is integers, but there is one solution if the domain is the rationals.x2 - 2 = 0 has no solutions if the domain is the rationals but there are two solutions if the domain is the reals.x2 + 2 = 0 has no solutions if the domain is the reals but there are two solutions if the domain is the complex numbers.Cos(x) = 1 has no solutions if the domain is (0, 360) but two solutions for the domain [0, 360].
