![]() Note: To be able to solve any system of linear equations we must have at least as many equations as we have variables. In either case, both methods would eventually lead to the same solution. In some questions, one method is the more obvious choice, often because it makes the process of solving the equations simpler in others, the choice of method is up to personal preference. There are two common methods for solving simultaneous linear equations: substitution and elimination. See below for examples of where we use simultaneous equations in economics. Solving such a system means finding values for the unknown variables which satisfy all the equations at the same time. Two or more linear equations that all contain the same unknown variables are called a system of simultaneous linear equations. Or you can check out our other articles related to Excel functions on this website.Contents Toggle Main Menu 1 Solving Simultaneous Linear Equations 2 How Many Solutions? 3 The Substitution Method 3.1 Video Example 4 Elimination 4.1 Definition 4.2 Worked Examples 5 Applications of Simultaneous Linear Equations in Economics 6 Demand and Supply 6.1 Inverse Demand and Supply Equations 7 Comparative Statics 7.1 Per-Unit Tax 7.2 Ad Valorem Tax 8 Input-Output Analysis 9 Macroeconomic Equilibrium 9.1 Video Example 10 Workbook 11 Test Yourself 12 External Resources Solving Simultaneous Linear Equations If you have any questions or feedback, please let me know in the comment section. I hope all of the methods mentioned above for solving simultaneous equations in Excel will prompt you to apply them more effectively. We have provided a Practice section on the right side of each sheet so you can practice yourself. Read More: How to Solve Nonlinear Equations in Excel (with Easy Steps) ![]()
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