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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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