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Elimination is particularly easy when one of the coefficients is one, or the equation can be divided by a number to reduce a coefficient to one. This makes substitution and elimination more trivial.

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Q: When is it best to solve a systems of linear equations using elimination?
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Related questions

What is the use of gaussian elimination in education world situations?

Gaussian elimination is used to solve systems of linear equations.


Solve linear equations with complex coefficients on both sides?

You would solve them in exactly the same way as you would solve linear equations with real coefficients. Whether you use substitution or elimination for pairs of equations, or matrix algebra for systems of equations depends on your requirements. But the methods remain the same.


What are two symbolic techniques used to solve linear equations?

Elimination and substitution are two methods.


Is linear algebra and linear equations the same?

Linear Algebra is a branch of mathematics that enables you to solve many linear equations at the same time. For example, if you had 15 lines (linear equations) and wanted to know if there was a point where they all intersected, you would use Linear Algebra to solve that question. Linear Algebra uses matrices to solve these large systems of equations.


How can you solve a system of equations?

The answer depends on whether they are linear, non-linear, differential or other types of equations.


What does it mean by solving linear systems?

Solving linear systems means to solve linear equations and inequalities. Then to graph it and describing it by statical statements.


What are two symbolic techniques used to solve linear equations and which do you feel is better?

Elimination and substitution are two methods.


How do you solve using elimination method 2x-y equals -2?

4


How do you solve 0.2x plus 4y equals -1 by using Elimination?

You cannot solve one linear equation in two variables. You need two equations that are independent.


How do you decide whether to use elimination or subsitution to solve a three-variable system?

There is no simple answer. Sometimes, the nature of one of the equations lends itself to the substitution method but at other times, elimination is better. If they are non-linear equations, and there is an easy substitution then that is the best approach. With linear equations, using the inverse matrix is the fastest method.


What are two symbolic techniques used to solve a system of linear equations in two variables?

I have never seen the term 'symbolic' used in this way. There are 4 methods used to solve a system of linear equations in two variables. Graphing, Substitution, Elimination, and Cramer's Rule.


What are the 4 ways to solve linear equations?

Step-wise substitution of variablesStep-wise elimination of variablesGraphical[Generalised] Inversion of coefficient matrix