The elimination method is considered a good and easy way to solve a system of linear equations because it eliminates one variable, simplifying the equations and allowing for easier computation. Here are a few reasons why it is beneficial:
1. Fewer variables: By eliminating one variable from the equations, we reduce the number of unknowns we need to solve for. This simplifies the problem and makes it easier to work with.
2. Better for linear equations: The elimination method works particularly well for systems of linear equations. Linear equations involve variables raised to the power of one and do not have any complex or non-linear terms. In such cases, the elimination method allows for direct subtraction or addition of the equations to eliminate a variable.
3. Straightforward procedure: The elimination method follows a step-by-step process that is relatively easy to understand and apply. It involves manipulating the equations to create opposite coefficients for the same variable in order to cancel out terms when adding or subtracting the equations.
4. No need for substitution: Unlike other methods, such as the substitution method, the elimination method does not require solving one equation for one variable and then substituting the value into the other equation. This saves time and effort by directly manipulating the equations to eliminate variables.
5. Applicable to larger systems: The elimination method is scalable and can be applied to systems of equations with more than two variables. It still follows the same principles of eliminating one variable at a time until a solution is found. This makes it a versatile method for solving larger systems of equations as well.
Overall, the elimination method is praised for its simplicity, directness, and effectiveness in solving linear systems of equations.
why is using the eleminiation method a really good and easy way?
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