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  2. 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 ...

  3. System of linear equations - Wikipedia

    en.wikipedia.org/wiki/System_of_linear_equations

    The simplest method for solving a system of linear equations is to repeatedly eliminate variables. This method can be described as follows: In the first equation, solve for one of the variables in terms of the others. Substitute this expression into the remaining equations. This yields a system of equations with one fewer equation and unknown.

  4. Linear algebra - Wikipedia

    en.wikipedia.org/wiki/Linear_algebra

    In multilinear algebra, one considers multivariable linear transformations, that is, mappings that are linear in each of several different variables. This line of inquiry naturally leads to the idea of the dual space , the vector space V* consisting of linear maps f : V → F where F is the field of scalars.

  5. Additional Mathematics - Wikipedia

    en.wikipedia.org/wiki/Additional_Mathematics

    2.2 Types of Roots of Quadratic Equations; 2.3 Quadratic Functions; 3) Systems of Equations 3.1 Systems of Linear Equations in Three Variables; 3.2 Simultaneous Equations involving One Linear Equation and One Non-Linear Equations; 4) Indices, Surds and Logarithms 4.1 Law of Indices; 4.2 Laws of Surds; 4.3 Laws of Logarithms

  6. Equation - Wikipedia

    en.wikipedia.org/wiki/Equation

    A linear Diophantine equation is an equation between two sums of monomials of degree zero or one. An example of linear Diophantine equation is ax + by = c where a, b, and c are constants. An exponential Diophantine equation is one for which exponents of the terms of the equation can be unknowns.

  7. Word problem (mathematics education) - Wikipedia

    en.wikipedia.org/wiki/Word_problem_(mathematics...

    Word problem from the Līlāvatī (12th century), with its English translation and solution. In science education, a word problem is a mathematical exercise (such as in a textbook, worksheet, or exam) where significant background information on the problem is presented in ordinary language rather than in mathematical notation.