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2. System of linear equations - Wikipedia

   en.wikipedia.org/wiki/System_of_linear_equations

   Here z is the free variable, while x and y are dependent on z. Any point in the solution set can be obtained by first choosing a value for z, and then computing the corresponding values for x and y. Each free variable gives the solution space one degree of freedom, the number of which is equal to the dimension of the solution set.

3. Microsoft Math Solver - Wikipedia

   en.wikipedia.org/wiki/Microsoft_Math_Solver

   Microsoft Math contains features that are designed to assist in solving mathematics, science, and tech-related problems, as well as to educate the user. The application features such tools as a graphing calculator and a unit converter. It also includes a triangle solver and an equation solver that provides step-by-step solutions to each problem.

4. Algebraic geometry - Wikipedia

   en.wikipedia.org/wiki/Algebraic_geometry

   Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometrical problems.Classically, it studies zeros of multivariate polynomials; the modern approach generalizes this in a few different aspects.

5. Elementary algebra - Wikipedia

   en.wikipedia.org/wiki/Elementary_algebra

   To solve this kind of equation, the technique is add, subtract, multiply, or divide both sides of the equation by the same number in order to isolate the variable on one side of the equation. Once the variable is isolated, the other side of the equation is the value of the variable. [37] This problem and its solution are as follows: Solving for x

6. Elimination theory - Wikipedia

   en.wikipedia.org/wiki/Elimination_theory

   Except for Bézout's theorem, the general approach was to eliminate variables for reducing the problem to a single equation in one variable. The case of linear equations was completely solved by Gaussian elimination , where the older method of Cramer's rule does not proceed by elimination, and works only when the number of equations equals the ...

7. Equation solving - Wikipedia

   en.wikipedia.org/wiki/Equation_solving

   When the task is to find the solution that is the best under some criterion, this is an optimization problem. Solving an optimization problem is generally not referred to as "equation solving", as, generally, solving methods start from a particular solution for finding a better solution, and repeating the process until finding eventually the ...