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- https://math.libretexts.org/Courses/Monroe_Community_College/MTH_104_Intermediate_Algebra/2%3A_Solving_Linear_EquationsIn this chapter, you will explore linear equations, develop a strategy for solving them, and relate them to real-world situations.
- https://math.libretexts.org/Courses/Las_Positas_College/Foundational_Mathematics/19%3A_Equations_and_InequalitiesIn this chapter, you will explore linear equations, develop a strategy for solving them, and relate them to real-world situations.
- https://math.libretexts.org/Courses/Austin_Peay_State_University/Supplementary_Material_for_Math_Models/02%3A_Emperical_Modelsing/2.03%3A_Linear_Regression_and_Correlation/2.3.02%3A_Linear_EquationsLinear regression for two variables is based on a linear equation with one independent variable. The equation has the form: y=a+bx where a and b are constant numbers. The variable x is the i...Linear regression for two variables is based on a linear equation with one independent variable. The equation has the form: y=a+bx where a and b are constant numbers. The variable x is the independent variable, and y is the dependent variable. Typically, you choose a value to substitute for the independent variable and then solve for the dependent variable.
- https://math.libretexts.org/Courses/Kansas_State_University/Your_Guide_to_Intermediate_Algebra/03%3A_Linear_Equations_and_GraphsIn this chapter, you will explore linear equations, develop a strategy for solving them, and relate them to real-world situations.
- https://math.libretexts.org/Bookshelves/Algebra/Book%3A_Arithmetic_and_Algebra_(ElHitti_Bonanome_Carley_Tradler_and_Zhou)/01%3A_Chapters/1.18%3A_Solving_Linear_Equations\(x^{2}-2 x+1=0\) is not a linear equation, since the variable \(x\) is to the second power. Following the example above, the solution is found (by subtracting \(2 x\) from both sides and subtracting ...\(x^{2}-2 x+1=0\) is not a linear equation, since the variable \(x\) is to the second power. Following the example above, the solution is found (by subtracting \(2 x\) from both sides and subtracting 12 from both sides) to be \(x=1 .\) Now, we can check if our work is correct by substituting \(x=1\) in the original equation and seeing whether the \(\mathrm{RHS}\) and \(\mathrm{LHS}\) yield the same value:
- https://math.libretexts.org/Courses/Borough_of_Manhattan_Community_College/Professor's_Playground/MAT_206.5_Intermediate_Algebra_and_Precalculus_alpha/1%3A_Solving_Linear_EquationsIn this chapter, you will explore linear equations, develop a strategy for solving them, and relate them to real-world situations.
- https://math.libretexts.org/Courses/De_Anza_College/Introductory_Differential_Equations/01%3A_First_Order_ODEs/1.02%3A_Classification_of_Differential_EquationsThis page discusses the classification of differential equations as ordinary or partial based on independent variables, emphasizing the importance of order and linearity. It covers concepts of homogen...This page discusses the classification of differential equations as ordinary or partial based on independent variables, emphasizing the importance of order and linearity. It covers concepts of homogeneous vs. nonhomogeneous equations, constant vs. variable coefficients, and introduces autonomous equations. Additionally, it mentions a 7-minute video providing context for understanding these concepts and solutions.
- https://math.libretexts.org/Bookshelves/Linear_Algebra/Interactive_Linear_Algebra_(Margalit_and_Rabinoff)/01%3A_Systems_of_Linear_Equations-_AlgebraThis page discusses the algebraic study of linear equations, detailing methods for solving them, particularly through row reduction. It explains a systematic approach to solving equations and how to e...This page discusses the algebraic study of linear equations, detailing methods for solving them, particularly through row reduction. It explains a systematic approach to solving equations and how to express solutions in parametric form. The content is organized into sections that build foundational knowledge on linear equations, algorithms for solutions, and solution representation.
- https://math.libretexts.org/Courses/Mission_College/Math_10%3A_Elementary_Statistics_(Sklar)/12%3A_Linear_Regression_and_Correlation/12.01%3A_Linear_EquationsLinear regression for two variables is based on a linear equation with one independent variable. The equation has the form: y=a+bx where a and b are constant numbers. The variable x is the i...Linear regression for two variables is based on a linear equation with one independent variable. The equation has the form: y=a+bx where a and b are constant numbers. The variable x is the independent variable, and y is the dependent variable. Typically, you choose a value to substitute for the independent variable and then solve for the dependent variable.
- https://math.libretexts.org/Bookshelves/Algebra/Intermediate_Algebra_1e_(OpenStax)/02%3A_Solving_Linear_EquationsIn this chapter, you will explore linear equations, develop a strategy for solving them, and relate them to real-world situations.
- https://math.libretexts.org/Courses/Mission_College/Math_10%3A_Elementary_Statistics_(Kravets)/10%3A_Linear_Regression_and_Correlation/10.02%3A_Linear_EquationsLinear regression for two variables is based on a linear equation with one independent variable. The equation has the form: y=a+bx where a and b are constant numbers. The variable x is the i...Linear regression for two variables is based on a linear equation with one independent variable. The equation has the form: y=a+bx where a and b are constant numbers. The variable x is the independent variable, and y is the dependent variable. Typically, you choose a value to substitute for the independent variable and then solve for the dependent variable.
