# Rewrite as a Vector Equality x minus three y equals minus nine , three y equals x plus nine

Rewrite as a Vector Equality x-3y=-9 , 3y=x+9
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Subtract from both sides of the equation.
Write the system of equations in matrix form.
Row reduce to eliminate one of the variables.
Perform the row operation on (row ) in order to convert some elements in the row to .
Replace (row ) with the row operation in order to convert some elements in the row to the desired value .
Replace (row ) with the actual values of the elements for the row operation .
Simplify (row ).
Perform the row operation on (row ) in order to convert some elements in the row to .
Replace (row ) with the row operation in order to convert some elements in the row to the desired value .
Replace (row ) with the actual values of the elements for the row operation .
Simplify (row ).
Use the result matrix to declare the final solutions to the system of equations.
Add to both sides of the equation.
The solution is the set of ordered pairs that makes the system true.
Decompose a solution vector by re-arranging each equation represented in the row-reduced form of the augmented matrix by solving for the dependent variable in each row yields the vector equality.
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