# Mathematics : Linear Equations.

Running head: Linear equations1Linear equationsName of

studentName of professorName of courseName of institutionLinear

equations2Option 1:Methods of solving linear equations are of three

types which include elimination, graphing andsubstitution method

(Golub, 1965). A linear equation is a system that involves two

relationshipswhich has two variables in each relationship. Linear

equation systems are solved by findingwhere the two relationships

are true or where the two lines cross one another (Campbell,

1980).All three methods of solving linear equations give the same

right answer but they have differentadvantages and

disadvantages.Substitution methodThis method involves substituting

an expression from one equation for the variable in

anotherequation. This method is used when where at least one

variable in one of the equations isrequired to be isolated. The

substitution method is useful when the equation has an

isolatedvariable or where a variable in an equation has a

coefficient of one. The substitution method isthe best method for

solving basic algebraic equations very quickly. Limitation of this

method isthat it can lead to arithmetic mistakes while solving

arithmeti9c equations.Elimination methodThis method is used to

solve linear equations by lining up the two equations vertically

such thatvariables in an equation ate on one side and the constants

are on the other side of the equation.To cancel out the variables

bottom line is subtracted …