
Review of Short Phrases and Links 
This Review contains major "Linear Equation" related terms, short phrases and links grouped together in the form of Encyclopedia article.
Definitions
 A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and (the first power of) a single variable.
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 A linear equation is an equation in which no variable has an exponent greater than one.
 A linear equation is a first degree equation (the variable are raised to the first power).
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 A linear equation is a mathematical expression which represents a straight line.
 Linear Equation is a mathematical or algebraic equation that has one or more variables, equal sign and linear expressions.
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 A linear equation in algebra is an equation which is constructed by equating two linear functions.
 Emphasis is on the kind of operations needed in statistical calculations such as least squares, linear equation solve and eigenvalues.
 In linear regression, when the linear equation y = a + b x is calculated, two parameters are estimated (the intercept and the slope).
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 EquationSolver: A webpage that can solve single equations and linear equation systems.
 Recall the following: A linear equation is a polynomial of degree 1.
 PlanetMath: linear equation (more info) Math for the people, by the people.
 This webpage gives an example of solving a linear equation.
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 An example of geometric algebra would be solving the linear equation ax = bc.
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 The exercise models how to write a linear model or linear equation for a given problem situation.
 This book contains a chapter on Lewy's example of a linear equation without solutions.
 Superposition principle states that a linear combination of solutions to a linear equation is again a solution.
 A solution of a linear equation is any ntuple of values which satisfies the linear equation.
 Such a hyperplane is the solution of a single homogeneous linear equation.
 If n is 2 the linear equation is geometrically a straight line, and if n is 3 it is a plane.
 This paper shows how anyone knowing only the public key and a ciphertext can easily retrieve the corresponding message by solving the linear equation system.
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 Continue until you have reduced the system to a single linear equation.
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 If you are looking for an explanation of what linear and nonlinear equations are, please see Linear equation.
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 The graph of a linear equation is a straight line.
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 Question: assume that the graph of a linear equation in three variables is a plane in 3dimensional space.
 To graph a linear equation, we can use the slope and yintercept.
 The linear relationship is represented with the following linear equation: hirudin concentration = PMACT * 0.0678.5, r 2 =0.74.
 Regression Equation The standard regression equation is the same as the linear equation with one exception: the error term.
 The goal was to develop a linear equation that relates all the predictor variables to a response variable.
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 A principle holding that two or more solutions to a linear equation or set of linear equations can be added together so that their sum is also a solution.
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 For three variables, each linear equation determines a plane in threedimensional space, and the solution set is the intersection of these planes.
 For a system involving two variables (x and y), each linear equation determines a line on the xy  plane.
 The standard form of a linear equation in two variables is a 1 x + a 2 y = b, where a 1, a 2 and b are constants and x and y are the variables.
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 In general, a straight line can always be represented by a linear equation in two variables, x and y, in the form ax + by + c = 0.
 The name "linear equation" applies to equations of the first degree, regardless of the number of variables they may contain.
 Because the average temperature is an example of a linear equation, the resulting collection of equations is a linear system.
 Both the equations reduce to the single linear equation x = y.
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 We can define a linear equation as: an equation whose graph is a line, that is, an equation that has a degree of one.
 A line in space cannot be given by one linear equation, since for any nonzero vector A, such an equation has a plane as a solution.
 A linear equation is an equation in which each term is either a constant or the product of a constant times the first power of a variable.
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Linear Equation
 Solution Of System Of Equations A system of linear equation means set of two or more linear equation with an equal number of variables.
 A linear inequality in two variables is similar to a linear equation, but the equal sign is replaced with an inequality sign.
 The classification is straightforward  an equation with n variables is called a linear equation in n variables.
Categories
 Science > Mathematics > Algebra > Equation
 Straight Line
 Single Variable
 Science > Mathematics > Equations > Solution Set
 Strong Relationship > Three Variables

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