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  2. System of linear equations - Wikipedia

    en.wikipedia.org/wiki/System_of_linear_equations

    Because a solution to a linear system must satisfy all of the equations, the solution set is the intersection of these lines, and is hence either a line, a single point, or the empty set. For three variables, each linear equation determines a plane in three-dimensional space, and the solution set is the intersection of these planes. Thus the ...

  3. Linear equation - Wikipedia

    en.wikipedia.org/wiki/Linear_equation

    Conversely, every line is the set of all solutions of a linear equation. The phrase "linear equation" takes its origin in this correspondence between lines and equations: a linear equation in two variables is an equation whose solutions form a line. If b ≠ 0, the line is the graph of the function of x that has been defined in the preceding ...

  4. Linear algebra - Wikipedia

    en.wikipedia.org/wiki/Linear_algebra

    In three-dimensional Euclidean space, these three planes represent solutions to linear equations, and their intersection represents the set of common solutions: in this case, a unique point. The blue line is the common solution to two of these equations. Linear algebra is the branch of mathematics concerning linear equations such as:

  5. Elementary algebra - Wikipedia

    en.wikipedia.org/wiki/Elementary_algebra

    The solution set for the equations = and + = is the single point (2, 3). An example of solving a system of linear equations is by using the elimination method: {+ = = Multiplying the terms in the second equation by 2:

  6. Toddler accidentally shoots, kills 22-year-old mother ...

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    A preliminary investigation by homicide detectives found Mina lived at the location with her boyfriend, Sanchez, and the victim's two children: an 8-month-old infant and a 2-year-old boy.

  7. Consistent and inconsistent equations - Wikipedia

    en.wikipedia.org/wiki/Consistent_and...

    The system + =, + = has exactly one solution: x = 1, y = 2 The nonlinear system + =, + = has the two solutions (x, y) = (1, 0) and (x, y) = (0, 1), while + + =, + + =, + + = has an infinite number of solutions because the third equation is the first equation plus twice the second one and hence contains no independent information; thus any value of z can be chosen and values of x and y can be ...

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    She's a big fan of the NOW Solutions, Hair, Skin, and Nails capsules with cynatine. "Cynatine isderived from sheep’s wool and therefore contains the same amino acid profile as required by humans ...

  9. France says 'merci' as Notre-Dame Cathedral rises from ruins ...

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    PARIS (Reuters) -The word "Merci" was projected on to the front of Paris' Notre-Dame cathedral as it reopened on Saturday, in thanks for its salvation after a devastating fire that brought the 860 ...

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