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When you use the substitution method how can you tell that a has an infinite number of solutions?
If the process of substituting leads to an identity rather than an equation then the system has infinitely many solutions.
If a dependent system of equations is solved how many solutions will there be?
if a dependent system of equation is solved, how many solutions will there be?
How many solutions does an inconsistent equation have?
An inconsistent equation (or system of equations) is one that has no possible solutions. That is precisely why we call it inconsistent; there is no solution set that can be substituted for its variable or variables that will make the equation (or system) true.
What are the three different possible solutions of a linear system?
If the lines cross then there is one solution. If they are on top of each other then there are infinite solutions. If they are parallel then there are no 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 is infinite solutions?
The equation or a system of equations having infinite solutions is called identity/identities. (a+b)^2=a^2+2ab+b^2 is an identity. It has infinite solutions. The equation is true for all values of a and b.
What is an infinite solution?
The equation or a system of equations having infinite solutions is called identity/identities. (a+b)^2=a^2+2ab+b^2 is an identity. It has infinite solutions. The equation is true for all values of a and b.
What does one solution mean in math?
An equation may have zero, one, or more solutions (this is also true for a system of equations). The equation 2 + x = 5 has only solution, for example. x can only equal 3, so there is one solution. (An example of an equation with more that one solution is x2 = 4. In this case x can equal 2 or -2, so this equation has two solutions. An example of an equation with an infinite number of solutions is x + 6 = 3*2 + x. x can equal any number to make this equation true, so it has an infinite number of solutions. The equation x = x + 1 is an example of an equation with no solutions.)
Does this system of equation 5x - y equals 7 have one solution no solution or an infinite number of solutions?
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What is a dependent system?
A dependent system is defined as "a system of equations that has infinite solutions." It is an equation that is used in various mathematical situations.
What is system dependability?
A dependent system is defined as "a system of equations that has infinite solutions." It is an equation that is used in various mathematical situations.
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 type of system equation produces the solution set infinite solution?
If the equations of the system are dependent equations, which represent the same line; therefore, every point on the line of a dependent equation represents a solution. Since there are an infinite number of points on a line, there is an infinite number of simultaneous solutions. For example, 3x + 2y = 8 6x + 4y = 16
When you use the substitution method how can you tell that a has an infinite number of solutions?
If the process of substituting leads to an identity rather than an equation then the system has infinitely many solutions.
Does 2x y 5 system of equations have one solution no solutions or an infinite number of solutions?
The given terms do not include an equality sign and as such it can't be considered to be an equation so therefore it has no solutions.
What is the number of solutions of a system in which the lines are coincident?
an infinite number of solutions
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.
