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Algebra

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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: Are system of equations and system of linear equation the same?
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Is this statement true or false A system of linear equations is a set of two or more equations with the same variables and the graph of each equation is a line?

The statement "A system of linear equations is a set of two or more equations with the same variables and the graph of each equation is a line" is true.


What is the definition of Simultaneous Linear Equations?

A system of linear equations is two or more simultaneous linear equations. In mathematics, a system of linear equations (or linear system) is a collection of linear equations involving the same set of variables.


How are linear inequalities and linear equations the same?

They are not. An inequality cannot, by definition, be the same as an equation.


Is the two points form equation the same as linear equation?

The equations are equivalent.


System of linear equation in one unknown?

A system of linear equations that has one unknown is a set of equations that all depend on the same variable. An example is y = 1 + 3x and y = 4 + 7x.


What are two or more linear equations using the same variables called?

A system of linear equations.


Is this statement true or falseA system of linear equations is a set of two or more equations with the same variables, and the graph of each equation is a line?

true


What is a group of linear equations that use the same variables?

a system of equations


How can you tell that an equation has the same solution as the original equation?

If the two equations are linear transformations of one another they have the same solution.


Why Two dependent simultaneous linear equations have infinite solutions?

Two dependent linear equations are effectively the same equation - with their coefficients scaled up or down.


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.


Whats the difference between a linear equation and a system of linear equations?

Quite simply, the latter is a group of the former.A system of linear equations is several linear equations taken together, each using the same group of unknowns. Usually, such a system provides one linear equation for each unknown (x, y, z, et al) that must be found (more complex systems can exist, though). You can use and manipulate these linear equations as you would a single linear equation to help solve for the unknowns. One way is to reduce all but one of the unknowns so that each can be expressed in terms of the remaining unknown and then solve for the remaining unknown which would in turn give you the others.

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