# Algebra Examples

,
Step 1
Move all terms not containing a variable to the right side of the equation.
Subtract from both sides of the equation.
Subtract from .
Step 2
Move all terms not containing a variable to the right side of the equation.
Subtract from both sides of the equation.
Subtract from .
Step 3
Move all terms not containing a variable to the right side of the equation.
Subtract from both sides of the equation.
Subtract from .
Step 4
Write the system of equations in matrix form.
Step 5
Find the reduced row echelon form of the matrix.
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 ).
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 ).
Step 6
Use the result matrix to declare the final solutions to the system of equations.
Step 7
This expression is the solution set for the system of equations.
Step 8
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.