Verified Answer :

Answer:

Answer is guess and check

Step-by-step explanation:

Linear equations are equations which have degree 1 for variable.

When it is a system of equations, there will be more than one variable.

There are different methods of solving linear system of equations.  If no of variables are equal to no of equations given, normally we can solve that system by using any one of the following methods:

i) Graphing

ii) Substitution

iii) Elimination

iv) Cramer's rule

v) Matrices ,

vi) Cross multiplication , etc

But guess and check is not used to mathematically solve as this will be cumbersome process especially when two or more variables are there

Hence option A is right answer.

You can use the fact that graphing, substitution and matrices are used for solving systems of linear equations and guess and check method is very inefficient generally.

The method which is not used to find the solution of a system of linear equations is
Option A :  Guess and check

Why is guess and check method not used in solving a system of linear equations?

It is because most of the times, this method proves inefficient. You will rarely get to the solution. Other methods in compare to this method are generally very very efficient.

  • Graphing method sees if the given linear equation's lines intersect or not and the common point to all straight lines gives the solution.
  • Substitution method finds the solution algebraically using equations and adding or dividing terms in the equation to reach to the conclusion. It finds expression for one variable in terms of other variable, and then substitute that expression in place of first variable in other equations. Other similar steps are used to find the solutions.
  • Matrices are used too to find the linear equations' solutions. We make variable matrix and matrices with all constants and then use inverse matrices etc tools to find the solutions.

Sometimes, the solution may not exist and sometimes they are infinite in amount and sometimes they are single output.

Thus,

The method which is not used to find the solution of a system of linear equations is
Option A :  Guess and check

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