# Solving Systems of Linear Equations

**BY CRAMER’ S RULE **

** Solve a System of Equations with 3 variables :**

Number each original equation 1,2 & 3.

Choose any 2 equations and use the addition

method to eliminate one of the variables. Number

the resulting equation with only 2 variables as

equation #4.

Choose remaining equations and use addition

method to eliminate the same variable. Number

the resulting equation as equation #5.

Use the elimination method for equations 4 & 5,

eliminating either of the remaining 2 variables and

solve for other .

Substitute that solution in either equation 4 or 5 and

solve for the other remaining variable.

Substitute both solutions in any of the original

equations and solve for the final remaining

variable.

Solution : (0,2,2)

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