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- https://math.libretexts.org/Bookshelves/Algebra/Intermediate_Algebra_for_Science_Technology_Engineering_and_Mathematics_(Diaz)/04%3A_Systems_of_Linear_Equations_in_Two_and_Three_Variables/4.02%3A_Systems_of_Equations_-_The_Substitution_MethodSolving a system by graphing has its limitations. We rarely use graphing to solve systems. Instead, we use an algebraic approach. There are two approaches and the first approach is called substitution...Solving a system by graphing has its limitations. We rarely use graphing to solve systems. Instead, we use an algebraic approach. There are two approaches and the first approach is called substitution. We build the concepts of substitution through several examples and then conclude with a general four-step process to solve problems using this method.
- https://math.libretexts.org/Courses/Coalinga_College/Math_for_Educators_(MATH_010A_and_010B_CID120)/08%3A_Algebraic_Thinking/8.13%3A_Systems_of_Equations_-_The_Substitution_MethodSolving a system by graphing has its limitations. We rarely use graphing to solve systems. Instead, we use an algebraic approach. There are two approaches and the first approach is called substitution...Solving a system by graphing has its limitations. We rarely use graphing to solve systems. Instead, we use an algebraic approach. There are two approaches and the first approach is called substitution. We build the concepts of substitution through several examples and then conclude with a general four-step process to solve problems using this method.
- https://math.libretexts.org/Bookshelves/Linear_Algebra/Interactive_Linear_Algebra_(Margalit_and_Rabinoff)/01%3A_Systems_of_Linear_Equations-_Algebra/1.03%3A_Parametric_FormThis page explains parametric form and free variables in solving linear equations. It outlines how to express solution sets using free variables, demonstrating the infinite solutions available when at...This page explains parametric form and free variables in solving linear equations. It outlines how to express solution sets using free variables, demonstrating the infinite solutions available when at least one variable is free. The text also classifies systems of linear equations based on their augmented matrix forms, identifying three scenarios: inconsistent systems with no solutions, unique solutions, and systems with infinitely many solutions due to free variables.
