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Systems of equations can be classified by the number of solutions. If a system has at least one solution, it is said to be consistent . If a consistent system has exactly one solution, it is independent . If a consistent system has an infinite number of solutions, it is dependent .

Independent System of Equations: An independent system of equations is a system with exactly one solution. This is a point in the form which indicates the intersection of the two lines. Dependent System of Equations: A dependent system of equations is a system with infinitely many solutions.

The wave equation utt ? uxx = 0 is hyperbolic. The Laplace equation uxx + uyy = 0 is elliptic. The heat equation ut ? uxx = 0 is parabolic.

Each mathematical expression has different parts. Three of these parts are terms, factors, and coefficients. The terms of a mathematical expression are parts of the expression that are connected with addition or subtraction.

The four types of expression Observations. The language of the detective or scientist. ... Thoughts. Conclusions, inferences, judgments, and evaluations of the observable facts are thoughts, the story you tell about the facts. ... Feelings. ... Needs. ... Use all four categories to your benefit.

There are 3 main types of algebraic expressions which include: Monomial Expression. Binomial Expression. Polynomial Expression.

Classify System without Graphing - YouTube YouTube Start of suggested clip End of suggested clip And it would be a system with an infinite number of solutions. If they have different slopes. TheyMoreAnd it would be a system with an infinite number of solutions. If they have different slopes. They will intersect at one point and it would have one solution.

Systems of equations are classified as independent with one solution, dependent with an infinite number of solutions, or inconsistent with no solution. One method of solving a system of linear equations in two variables is by graphing. In this method, we graph the equations on the same set of axes.

A system of two equations can be classified as follows: If the slopes are the same but the y-intercepts are different, the system is inconsistent. If the slopes are different, the system is consistent and independent. If the slopes are the same and the y-intercepts are the same, the system is consistent and dependent.

You call an expression with a single term a monomial, an expression with two terms is a binomial, and an expression with three terms is a trinomial. An expression with more than three terms is named simply by its number of terms. For example a polynomial with five terms is called a five-term polynomial.