Linear Algebra Examples

Solve Using a Matrix by Elimination x-9=y , x+y=6
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Step 1
Move variables to the left and constant terms to the right.
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Step 1.1
Subtract from both sides of the equation.
Step 1.2
Add to both sides of the equation.
Step 2
Write the system as a matrix.
Step 3
Find the reduced row echelon form.
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Step 3.1
Perform the row operation to make the entry at a .
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Step 3.1.1
Perform the row operation to make the entry at a .
Step 3.1.2
Simplify .
Step 3.2
Multiply each element of by to make the entry at a .
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Step 3.2.1
Multiply each element of by to make the entry at a .
Step 3.2.2
Simplify .
Step 3.3
Perform the row operation to make the entry at a .
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Step 3.3.1
Perform the row operation to make the entry at a .
Step 3.3.2
Simplify .
Step 4
Use the result matrix to declare the final solution to the system of equations.
Step 5
The solution is the set of ordered pairs that make the system true.